The 60 AF armor has to be purchased with Centurio seals in the bar in Foundation. You gotta also do the ARR hunt unlock quests that leads to the ishgard hunt quests being available.
After that I believe there's a way to augment the armor in idylshire, but I can't remember exactly how, if you want to dye it.

Anyway, to repurchase AF armors in general, its
ARR:Calamity salvager
HW: Centurio seals in ishgard
SB: Calamity salvager
ShB: [REDACTED] in final zone