Eugeo can be acquired through either 5 Rainbow Event Medals or by heavily grinding the SAO event dungeon. Either way, one can find Eugeo in the Monster Exchange Event tab for the duration of the SAO event.
—video coming soon (when I get over this cold/sore throat)–
Eugeo at a glance
Active: Change top-most row & bottom-most row into Water orbs. Increases time limit of orb movement by 150% for 2 turns. (15 turn cooldown) Continue reading Farm a Eugeo