As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
APU ALTITUDE NO START, COLD SOAK FL 380. APU SHUTDOWN AFTER REACHING 95% SPEED AFTER 10 SECONDS. SERVICED APU TO FULL, APU STARTED. WHILE RUNNING, OBSERVED LARGE PLUMES OF SMOKE FROM EXHAUST. AUTO SHUTDOWN AFTER FIVE MINUTES. RECHECKED OIL LEVEL & FOUND NO OIL LEVEL IN SIGHT GLASS. REPLACED APU IAW AMM 49-11-01. LEAK CHECKED GOOD.