Found with PFGW Version 3.7.5

387^21694+21694^387 is 2-PRP! (150.7563s+0.0044s)
387^21694+21694^387 is 3-PRP! (151.8111s+0.0036s)
387^21694+21694^387 is 5-PRP! (151.2726s+0.0045s)
387^21694+21694^387 is 7-PRP! (153.3313s+0.0050s)
387^21694+21694^387 is 11-PRP! (155.8360s+0.0048s)

Primality testing 387^21694+21694^387 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
387^21694+21694^387 is Fermat and Lucas PRP! (1227.8927s+0.0046s)

To be completed...