PA28 HAD NMAC WITH A F16. RPTR WAS GIVING INST INSTRUCTION. ATC POINTED OUT TFC; AN F16; AT 2 OR 3 O'CLOCK 1 MI. RPTR FINALLY SAW THE TFC; POSSIBLY A DIFFERENT F16; AT 9 O'CLOCK; 1500 FT AWAY; BEARING DOWN ON THEM. THE F16 FLEW ABOUT 200 FT DIRECTLY OVER THEM. NO TIME FOR EVASIVE ACTION.

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I WAS ON A TRAINING XCOUNTRY AS A CFII. I HAD JUST GONE MISSED APCH WBOUND FROM FWS (SPINKS) XING S OF NAVY FT WORTH VFR WITH FLT FOLLOWING FROM FT WORTH REGIONAL APCH. I WAS TOLD TO RESUME MY OWN NAV TO MWL. THE PVT INST STUDENT; I WAS TRAINING; WAS PARTIAL PANEL. WE WERE WELL S OF NAVY FT WORTH AIRSPACE APPROX 5-7 MI S OF AIRSPACE. APCH CTL INFORMED US OF 'FIRST TARGET' XING N OF BENBROOK LAKE. I SPOTTED TARGET OUT OF R WINDOW; 2 O'CLOCK; WATCHED FIRST TARGET TURN FINAL NAVY FT WORTH. LOOKING OUT OF FRONT WINDOW SPOTTED SECOND ACFT 'VISUAL CONTACT 3;' F16 LOWER THAN US APPROX ALT OF CONTACT 2000-2500 FT. IT WAS PASSING VERY CLOSE TO 50F (BOURLAND FIELD). I WATCHED THIS ACFT MOVING N TO S. I INSTRUCTED PLT TO CLB FROM 3000 TO 3300 FT MSL. I LOST VISUAL CONTACT WITH F16 WHICH BLENDED INTO SURROUNDING AREA. I CONTINUED TO SCAN FOR IT AT 1 TO 2 TO 3 O'CLOCK BUT EXPECTED TO SEE IT 1 TO 2 O'CLOCK. AFTER A FEW SECONDS APCH TOLD US F16 1 MI 2 OR 3 O'CLOCK AT 3500 FT (I CAN'T REMEMBER WHICH). I LOOKED FOR IT BUT COULD NOT SEE IT UNTIL I LEANED BACK BEHIND THE PLT'S HEAD TO WHICH I SAW A F16 APPROX 1000-1500 FT AWAY DIRECTLY AT 90 DEGS TO OUR ACFT OFF L WING. I WAS IN THE WRONG POS TO REACT TO THE ACFT. I HAD KEYED THE MIKE TO RPT NEGATIVE CONTACT BUT ONLY MANAGED AN 'EXPLETIVE' AT WHICH POINT THE F16 PASSED 200 FT ABOVE US DIRECTLY OVER OUR ACFT. THE TOTAL TIME BTWN THE RADAR ADVISORY AND THE NEAR MISS WAS 3-6 SECONDS. IT JUST DIDN'T GIVE ENOUGH TIME FOR US TO REACT. I HAD BEEN SCANNING FOR HIS ACFT BUT DUE TO ITS HIGH SPD AND GREY COLOR IT WAS VERY HARD TO SEE. THE CTLR COULD HAVE HELPED MORE; WITH AN INSTRUCTION FOR AN IMMEDIATE DSCNT. I THINK THE CTLR WAS ALSO GIVING VECTORS TO THE F16 AS SHE WAS ABLE TO TELL US IT WAS AN F16.