Tusheti transport 24/06 - 08/07

I am flying to Tbilisi on 24th June and would like to go to Tusheti region, I'm not sure if I can find transport over there (I read from Mtskheta I could go), but would like to join other group to share the cost of car. Or if you know what is the best way to go to Tusheti please let me know.

Thanks!