As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING CLIMB FLIGHT PILOTS GOT THE RED LOW FUEL PRESSURE WARNING.THE PILOTS TURNED ON ELECTRIC FUEL PUMP AND PRESSURED WAS RESTORED TO NORMAL. COULD NOT DUPLICATE ON GROUND RUNS. INSPECTED FOR CLEAN FUEL SYSTEM NO PROBLEMS WHERE NOTED INSTALLED NEW MECHANICAL FUEL PUMP ANYWAY FOR SAFETY. HAS WARNINGS IN THE FLIGHT MANUAL AT HIGH ALTITUDES YOU COULD GET LOW FUEL PRESSURE IN CLIMB, CRUISE AND DESCENT I THINK NEEDS A COOLING SOURCE FOR THE MECHANICAL FUEL PUMP.