Where can I catch a Carbink in X & Y?

Question

I have Pokemon X and I have defeated the 6th Gym. Can I get Carbink at this point in the game? If so, where?

Answer 1

Carbink shows up as a normal-encounter PKMN around lv. 21 in Reflection Cave.
SOURCE: Experience (I caught one as such)
It also shows up there in Hoard battles as I believe Lv. 11.
SOURCE: Serebii.net