MDT ACR ACFT ENG FLAMEOUT DURING HIGH ALT CRUISE DURING TURBULENT AND LIGHTNING WX CONDITIONS. EMER DECLARED AND THEN CANCELED AFTER ENG RESTART.

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TURB AND LIGHTING CONTINUED; STILL WITHOUT CLOSE RANGE RADAR INDICATION. THE R ENG FLAMED OUT AND THE AUTOPLT DISENGAGED. WE WERE HIGHER THAN THE RELIGHT ENVELOPE; AND THE PNF'S ATTEMPTED RESTART WAS UNSUCCESSFUL. THE ACFT HANDLED WELL SINGLE ENG. DESPITE THE TURB; I WAS ABLE TO MAINTAIN ALT AND HDG WHILE HAND-FLYING. I WAS CONCERNED THAT WE WERE STILL EXPERIENCING THE TURB AND LIGHTNING WITHOUT RADAR INDICATION AND THEREFORE; WITHOUT KNOWING WHERE TO GO TO ESCAPE IT (BESIDES BACK THROUGH WHAT WE HAD JUST EXPERIENCED); AND THAT WE COULD JUST AS EASILY LOSE THE FINAL ENG ANY TIME. I MENTALLY REVIEWED DOUBLE FLAMEOUT; BEST GLIDE SPD. THE PNF STATED HE WOULD FOCUS ON ATTEMPTING A RELIGHT. I CONCURRED; INFORMED ATC OF THE SIT AND DECLARED AN EMER REQUESTING VECTORS TO THE NEAREST SUITABLE ARPT AND ADVISING THEM OF WX CONDITIONS AND LOCATION. ATC IDENTED INDIANAPOLIS. I CONCURRED. ATC PROVIDED A VECTOR AND DSCNT CLRNC WHICH I EXECUTED. PNF INFORMED THE FLT ATTENDANT; PAX AND COMPANY OF THE SIT AND INTENT. WE BROKE UNDERNEATH THE WX. PNF ADVISED CTR CVG WAS AS CLOSE TIME-WISE AS IND BECAUSE OF THE HIGH ALT. CTR PROVIDED A VECTOR TO CVG AND ASKED IF WE WERE CANCELLING THE EMER. I REPLIED NOT UNTIL THE SECOND ENG WAS RESTORED. THE SECOND RELIGHT ATTEMPT WAS SUCCESSFUL. WE CANCELLED THE EMER WITH ATC AND REBRIEFED THE FLT ATTENDANT; PAX AND COMPANY OPS REPRESENTATIVE. THE REMAINDER OF THE FLT WAS UNEVENTFUL. CVG APCH CTL ASKED IF WE DESIRED EMER EQUIP. I DECLINED.