Location: The Iceberg coordinates (2044, 150)
Levels: 121-180

Introduction

The penguin metaquest! Head to the Iceberg and request a quest from the lord emperor penguin, north, north, west, up, northwest from entrance. Similar to class metaquests, it is random what quest you receive so you may not receive the main questline right away. Just keep trying. Spheniscomancy apparently is related to magic over penguins.

Jan. 2023 update: # 7800 | Tue Jan 18 20:23:35 2022 | bugfix (IBR) | The tipsy spheniscomancer has found a new home in Aequtus, and third classers should be able to obtain the mark of spheniscomancy once more.

Note

The following quest phases are in no specific order. Their distribution seems to be random and varies by player.

Main questline

This quest [3410] is called 'Eeej Reeee Eiiiie',
for Adventurers levels 121 to 180.
This is a METAQUEST. Complete METAPHASE quests to finish phases.
The lord emperor penguin is the master in charge of this quest.
Ahhhh eieahhhhhh uuaaauuu, oooo reeeek ooo reeekkkk ooo ahhhhh iaaaieaaaah
ongg onggk onnk onnk!  Uuawuk, uuauwk, uawkk, uu!  Haaahuu, nngk!  
Upon successful completion of this quest you can receive:
*Up to 75 quest points, 50 practice points, 900,000 experience points,
100 build points, 0 piety, and 0 gold pieces.
*The item 'a classy penguin's classy tuxedo'.
*The Mark of Spheniscomancy!
This quest has no time limit.
Eeej Reeee Eiiiie consists of:
Phase 1: Complete Quest #3411 'Aouw Ahh, Awuao'.
Phase 2: Complete Quest #3412 'Ong Onk Ong Ooonnkk'.
Phase 3: Complete Quest #3413 'Nhnnnh Nhnnh Nknk Knk Knkk Kngk'.
Phase 4: Complete Quest #3414 'Hoon Oon Oon Hoon Huaaak'.

Phase 1

Easy quest though it needs visiting Verity Isle. Hope for a world gate there?

This quest [3411] is called 'Aouw Ahh, Awuao',
for Adventurers levels 121 to 180.
This is a METAPHASE quest. Complete it to finish METAQUEST phases.
The lord emperor penguin is the master in charge of this quest.
Nnkg, aouww hrrrr, kklkkklkl aouwwww, oooojoooaaaa aah ahh ahhhahah hhaaa
hhoaaoaha haaaa hahhhh.  Hrnnnk hnnk aoaoa aaaa, anhhh ahha haahaa
aoooAAAaaa.  Aahrreep aahreeepapapa, aaah.  
Upon successful completion of this quest you can receive:
*Up to 0 quest points, 0 practice points, 95,000 experience points,
10 build points, 0 piety, and 0 gold pieces.
You have 0 Alyrian minute remaining to complete this quest.
Aouw Ahh, Awuao consists of:
Phase 1: *Visit an emperor penguin. <-- located in Aequtus
Phase 2: *Visit a tipsy spheniscomancer. <-- Tavern at the End of Time Aequtus in the Wheel of Death
Phase 3: *Visit an adorable penguin. <-- Buy it from the tipsy spheniscomancer
Phase 4: *Visit a ferocious werepenguin. <-- Buy it from the tipsy spheniscomancer
Phase 5: *Visit a werepenguin. <-- located in Verity Isle. I found some northeast of the Tower on the cyan Ice Shelf around coords 110, 12.

Phase 2

Probably hardest part of the questline as you need to physically go to Hellbent.

This quest [3412] is called 'Ong Onk Ong Ooonnkk',
for Adventurers levels 121 to 180.
This is a METAPHASE quest. Complete it to finish METAQUEST phases.
The lord emperor penguin is the master in charge of this quest.
Awa aw aw akhaak!  Akh!  Ahk!  Ahhha!  Oaaaahhh!  Ieiaiahh!  Ahhhhh honnnnk
khooooong khonoongkh!  
Upon successful completion of this quest you can receive:
*Up to 0 quest points, 0 practice points, 114,000 experience points,
12 build points, 0 piety, 1 alignment, and 0 gold pieces.
This quest has no time limit.
Ong Onk Ong Ooonnkk consists of:
Phase 1: *Defeat a suffocating jorth-fish [Rahdiyr]. <-- Purchase from Putrid Pets, unform and kill
Phase 2: *Defeat a ravenous piranha. <- Ogre Village river
Phase 3: *Visit a king prawn [Hellbent Mountain]. <- Hellbent Shallow Lake waters. Untrackable.
Phase 4: *Visit Fisherman Joe [Irda Isle]. <- Irda Isle near the entrance path from the Wilds
Phase 5: *Defeat a small colorful fish [Sigil]. <- Sigil, in the pond
Phase 6: *Defeat an aerodynamic flying fish [Sigil]. <- Sigil, pond area, if you can't find or track one in the pond try killing the other fish and waiting to see if one repops.

Phase 3

Easiest part of the questline with only one phase and also located within the Iceberg. Room is solitary and energy-draining. Orca is evil aligned and tanky so casting Protection from Evil helps. The Orca will reset and fully heal if you leave the room so be prepared to fight to the death or be ready to calm when low.

This quest [3413] is called 'Nhnnnh Nhnnh Nknk Knk Knkk Kngk',
for Adventurers levels 121 to 180.
This is a METAPHASE quest. Complete it to finish METAQUEST phases.
The lord emperor penguin is the master in charge of this quest.
Iaah, yaahi iyaah, ya ya ya ii iiya iiii hngknhk.  Iaaa nhnknh nhngk, iaaaaa
iiyha nhnk aaaiiaaiii aanaaah.  
Upon successful completion of this quest you can receive:
*Up to 15 quest points, 0 practice points, 95,000 experience points,
10 build points, 0 piety, and 0 gold pieces.
You have 0 Alyrian minute remaining to complete this quest.
Nhnnnh Nhnnh Nknk Knk Knkk Kngk consists of:
Phase 1: Defeat [[a prowling orca]]. <-- In The Iceberg

Phase 4

Things to remember:

All objects have to be freshly obtained, you can't get them beforehand.
Maybe possible for a archon to just help you retrieve the items from Decara and Hotel Hello while you wait in safety.
The first phase requires heading to Ogre village and killing an ogre hunter to get a huge lava rock. Take this and give to Havall who will trade you a pet rock. If you are not an ogre you will need to wear A Dragon's Tooth on a Necklace

This quest [3414] is called 'Hoon Oon Oon Hoon Huaaak',
for Adventurers levels 121 to 180.
This is a METAPHASE quest. Complete it to finish METAQUEST phases.
The lord emperor penguin is the master in charge of this quest.
Onk onk huuakk, oaw oaw ouah ouaghk, ouaw oaw oaw ouah ouaw oaw, onk nonk
onk onkk onnnnngk! Ohnk, onk, onkk, ouaaaaagh, ouaghk ouagh ouaghk ouahk!
Hawnnn, hawnn, hawwn hawn awk awk awk ouaghk!
Upon successful completion of this quest you can receive:
*Up to 0 quest points, 0 practice points, 95,000 experience points,
10 build points, 0 piety, and 0 gold pieces.
You have 0 Alyrian minute remaining to complete this quest.
Hoon Oon Oon Hoon Huaaak consists of:
Phase 1: Locate and deliver a pet rock to a friendly chinstrap penguin [Fresh object required]. <-- see note above*
Phase 2: Locate and deliver a beginner's songbook to a singing penguin [Fresh object required]. <-- sold by the musicologist in The Yodelin Ogre in Decara
Phase 3: Locate and deliver a mink coat to a shivering gentoo [Fresh object required]. <-- drops from a rich man's wife and Senator Laveau in Templeton
Phase 4: Locate and deliver a dirty gray shawl to a sleepy royal penguin [Fresh object required]. <-- From Mijkala in Shlarshk or from a lesser priest in the church area on the west side of New Kolvir.
Phase 5: Locate and deliver an extremely dusty pillow to a napping rockhopper [Fresh object required]. <-- found in Hotel Hello, spawned on the ground, GMCP #78060 and possibly others
Phase 6: Locate and deliver a strangely familiar picture to a lovestruck penguin [Fresh object required]. <-- sold in Abdalla's Pawn Shop in Vospire

Rewards

You focus your powers of observation on a classy penguin's classy tuxedo:
Item 'a classy penguin's classy tuxedo' is type armor, alignment 0, made of reinforced-cloth (in (new) condition),[Study][LTB]
has keywords 'classy penguins tuxedo tiny', equipped on the body.
This item weighs 0 stones and 9 pebbles, and is valued at 36,800 gold. {Cat. 5}
This level 180 item has the attributes: unbreakable bind-on-take
Armor resistance is 24 pierce, 23 bash, 24 slash, and 24 exotic.
Affects water-skill-dam by 10.
Affects water-skill-res by 10.
Affects personality by 3.
*This item may be repaired 4 times.
*This item is bound to Mythrax.
It's a tiny tuxedo, of the variety the penguins wear.

+++ a classy penguin's classy tuxedo will, while its wearer is in combat in
A Tourmaline Cave, heal its wearer for 12hp per combat round.

Mark Of Spheniscomancy