I've never encountered this kind before.
Isn't it interesting that with over 50 varieties of avocados growing around the world, most people can only recognize the "Hass" avocado, or other more popular varieties?
These were picked by a lady we met in Texas, right off of the tree. When she asked a group of four adults if we knew what they were, only I recognized them as an avocado. I'm not even sure of the exact variety, but I was glad to get a chance to not only see it, but also to eat it! Enjoy the video!
PAPA-PEPPER MEETS A NEW KIND OF AVOCADO - VIDEO
As always, I'm 
and here's the proof:
proof-of-different-avocado
