That fig is the South eastern Brown Turkey,or Southern Brown Turkey,and it is a very good tasting fig.
It is very hard to distinguish it from Celeste because it look similar with the difference that the eye (ostiole ) is red on the green embryos,while on Celeste it is white.
Eventually when fruits are ripe The Celeste eye also turns pinkish red,but Southern BT has a red eye from the begining.
I know is confusing but this is the way it can be explained.
James Robin in Louisiana sell this type of Brown Turkey.
There are at least 2 more Brown Turkey with large fruits both distinct one from the other:
Those are
English Brown Turkey
California BT.