Found with PFGW Version 3.8.0

8094^13399-13399^8094 is 2-PRP! (53.8010s+0.0102s)
8094^13399-13399^8094 is 3-PRP! (54.7525s+0.0092s)
8094^13399-13399^8094 is 5-PRP! (53.8320s+0.0092s)
8094^13399-13399^8094 is 7-PRP! (56.7706s+0.0108s)
8094^13399-13399^8094 is 11-PRP! (55.9146s+0.0119s)

Primality testing 8094^13399-13399^8094 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
8094^13399-13399^8094 is Fermat and Lucas PRP! (271.3504s+0.0108s)

To be completed...