Yeah, what is it with D'Addarios and that high E?
Havn't had it happen for quite a while though..
If it's not the string itself, then the internals of the tuner have some problem, a stripped cog/thread/whatever it's called, or partially worn so as it only slips when it comes under tension.
Or maybe the pin itself is worn at the end and not fully locking properly
Try tightening (a bit) the screw on the top of the tuner button, see if that helps, otherwise...
You could try unscrewing the back/locking thumbscrew completely, see what's going on in there, but pretty sure that'll wreck the threads, make it kinda bodgy from here on in..make sure you can get your hands on a replacement before going down this road!
Cheers
B.S.