Found with PFGW Version 3.6.0

1167^13894+13894^1167 is 2-PRP! (97.6278s+0.0061s)
1167^13894+13894^1167 is 3-PRP! (103.6428s+0.0046s)
1167^13894+13894^1167 is 5-PRP! (98.4458s+0.0040s)
1167^13894+13894^1167 is 7-PRP! (96.9720s+0.0041s)
1167^13894+13894^1167 is 11-PRP! (98.4186s+0.0052s)

Primality testing 1167^13894+13894^1167 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 11
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 3+sqrt(29)
Calling N-1 BLS with factored part 0.02% and helper 0.00% (0.06% proof)
1167^13894+13894^1167 is Fermat and Lucas PRP! (797.9177s+0.0055s)

To be completed...