AJI Hustler business aircraft, TPE331 turboprop in the nose, P&W JT-15 turbofan in the rear.
https://en.m.wikipedia.org/wiki/Gulf...erican_Hustler
Never made it beyond prototype stage but was developed into the Peregrine 600 jet trainer
sans TPE331, then the Peregrine single engine business jet, neither of which developed beyond prototypes. Thought the Peregine looked great but it had a pretty tiny cabin I think. Predated the Eclipse and so on by some 30 years.
Also Rutan's World circling Voyager had different engines fore and aft.