Found with PFGW Version 3.7.5

116^11688+115 is 2-PRP! (6.2458s+0.0025s)
116^11688+115 is 3-PRP! (5.9613s+0.0026s)
116^11688+115 is 5-PRP! (6.4529s+0.0027s)
116^11688+115 is 7-PRP! (6.3734s+0.0021s)
116^11688+115 is 11-PRP! (6.1270s+0.0025s)

Primality testing 116^11688+115 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N+1 BLS with factored part 0.10% and helper 0.01% (0.31% proof)
116^11688+115 is Fermat and Lucas PRP! (60.1372s+0.0047s)

To be completed...