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See here and here, the quest in question is located in the EP faction. Due to the nature of the veteran system you will eventually have access to EP and will receive the costume as a quest reward.
Edited by The_Sadist on June 29, 2015 8:02AM
"Each event is preceded by Prophecy. But without the hero, there is no Event." ― Zurin Arctus, the Underking.
Tragrim - How do I work this thing?
Casually stalking the forums
or create a EP char, level it until be able to make the quest... the costume unlocks to all account, and the quest if i recall right is not part of any chain itself, so just fast grind until have propper level.