Found with PFGW Version 3.7.5

7395^9116-9116^7395 is 2-PRP! (23.1875s+0.0016s)
7395^9116-9116^7395 is 3-PRP! (22.4437s+0.0017s)
7395^9116-9116^7395 is 5-PRP! (22.1369s+0.0018s)
7395^9116-9116^7395 is 7-PRP! (22.1749s+0.0017s)
7395^9116-9116^7395 is 11-PRP! (22.2047s+0.0018s)

Primality testing 7395^9116-9116^7395 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 29, base 4+sqrt(29)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
7395^9116-9116^7395 is Fermat and Lucas PRP! (114.4098s+0.0026s)

To be completed...