I spotted this tree last Fall but at that time it had no figs.
I stopped by today and was surprised to see many large green yummy figs. 
First I thought it was a Desert King but the inside is not red enough (unless that is how a pollinated DK looks like).
The figs are lightly colored and large.
The taste was very good, slight acidity, on a berry side, juicy, almost no crunch.
The tree is planted as you can see from the photos but I cannot tell the variety. Very healthy, no signs of a FMV. Productive. 
Any ideas?

The leaves and fruit shape are similar to a "Desert King" tree that's growing in my neighborhood, the inside lacks that purple ring but that may just be because it wasn't caprified. 

I'll try to post some pics of the leaves and fruit to compare.

Hi Igor, if it's Desert King, those must be caprified main crop. Were there signs of brebas still. DK makes a lot of them. Here is a pic of a local DK, not caprified.  

Thank you, Gary, for the photo. That is what I suspected but there were no breba left on the tree to check how red it would be. The outer darker rings indicate the pollination. I have not seen a caprified DK before, that might be it! I can say that the main crop was very tasty!

Hi greenfig,
Is DK known for those batches of figs ? I don't think so.
The only fig tree I saw making those batches with so short inter-nodal spaces, they are in Northern Portugal, and  supposedly is "Pingo de mel" .
I have two growing from cuttings since I met their mothers last year. The trees I saw had no ripe fruit, so i fact, I can't be sure of what it is .
Perhaps next year, I'll learn more, if my trees do fruit.

Those leaves look exactly like the leaves on my Desert King.  Can't speak for the fruit though as mine hasn't bared yet.