AN 'LTT' CREW SUPPOSEDLY VIOLATED A POWER PLANT TFR; SPAWNING A MIL FIGHTER INTERCEPT.

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ON THE EVENING OF NOV/TUE AT APPROX XA00 LCL; WE WERE ENRTE TO ZZZ FROM THE W. WHILE FLYING S OF THE ZZZ1 POWER PLANT; I MADE THE PIC AWARE THAT WE WERE VISUALLY MORE THAN 10 MILES FROM THE POWER PLANT; BUT SUGGESTED WE TURN FURTHER S JUST TO GIVE AN EVEN WIDER BERTH. WE WERE ON AN EASTERLY HDG BEFORE THE TURN FURTHER S. I HAD PREVIOUSLY DONE A POS CHK USING THE ACFT FMS SYSTEM AND DETERMINED THAT WE WERE 15 MILES OFF THE SW RUNWAY OF ZZZ2 WHICH IS S-SW OF THE POWER PLANT. ON AN E HDG AND AT A POINT 15 MILES S OF ZZZ2. THIS PUT OUR ACFT WELL CLR OF THE 10-MILE RADIUS OF THE POWER PLANT. HOWEVER; AFTER LNDG AT ZZZ AND PUTTING THE ACFT IN THE HANGAR; WE WERE GREETED BY THE STATE HIGHWAY PATROL; WHO ASKED IF WE HAD SEEN AN ACFT LAND. WE WERE TOLD THAT THERE HAD BEEN AN INTERCEPT BY MIL ACFT NEAR THE VICINITY OF THE POWER PLANT S OF ZZZ3. THE STATE TROOPERS WERE INFORMED THAT OUR ACFT HAD PASSED S OF THE POWER PLANT. BUT WAS OUTSIDE THE 10-MILE RADIUS. BEING ASKED IF WE KNEW THAT WE HAD BEEN INTERCEPTED; THE PIC SAID THAT HE THOUGHT HE SAW HIGH PERFORMANCE ACFT SHORTLY AFTER WE WERE S-SE OF THE POWER PLANT. THROUGHOUT THE FLT; WE HAD ONE OF THE ACFT RADIOS TUNED TO 121.5 MHZ; HOWEVER AT NO TIME WAS THERE ANY RADIO TFC ON THE RADIO. THE RADIO HAD BEEN CHKED SHORTLY AFTER DEP VIA THE SQUELCH AND APPEARED TO BE COMPLETELY OPERATIONAL.