Did you finished the quest "Let the Hunt Begin" with you Grand Company?
If you finished it you have to complete the following quests in order to unlock 1, 2, 3 and elite clan hunts.
Let the Clan Hunt Begin - Lv.53 - Foundation (x12,y11)
Better Bill Hunting - Lv.56 - Foundation (x12,y11)
Top Marks - Lv.59 - Idyllshire (x6,y6)
Elite and Dangerous - Lv.60 - Foundation (x13,y11)