Take a +1 G11 and 1 of each gem from the islands, Trans skills and G11 upgrades to the Nasa Alter (Crystal room has a teleport).
Gems:
ã…‡Sephiroth
ã…‡Sephiroth Choice
ã…‡Divine
ã…‡Magic
ã…‡Sorcery
ã…‡Janra ã…‡Borna
ã…‡Jous ã…‡Shua
ã…‡Red Honor ã…‡Blue Tear
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You find the guy in the image above, And tell him you want to be epic! Err... eonic! Make, an eonic... And he'll ask you what grade.
Make sure you keep your good +8 g11 equipped, or you might convert it into a g1 eonic weapon.
That's it!
I'd suggest not running around with Grade 1 eonics. Usually it's Grade 2 or SMASH!