Well, at Portland Intl. some years back (1998), the pilot of an Aerospatiale SN-601 "Corvette" Part 91 flight purposely tried to takeoff with one engine inop.
On takeoff the business jet barely managed to climb 10 ft before settling back down on the runway. It then veered off the runway and slid for 1/2 mile. It was a miracle that no one was seriously hurt or killed.
Post accident, the pilot then lied to the FAA and NTSB, stating that the right engine failed during the takeoff roll. Of course the CVR clearly recorded the pilot talking to the "co-pilot" and passengers that he couldn't start the right engine despite multiple tries. The pilot then stated that he was going to take off with one engine and try to "compressor start" the other engine in the air
after the takeoff.
And although the SN-601 required two pilots, turns out the person sitting on the right seat was only a private pilot with no multi-engine rating and therefore not SIC qualified.
I don't know that kind of enforcement actions the FAA took... I hope they were "appropriate".
NTSB Full Narrative N600RA