Engine Scag turf tiger shuits off after about 5 to 10 minutes. Starts right back up

I have a Scag model STT61-25ch Ser #4310274. Starts up and runs fine for 5 to ten minutes. Sometimes will shut off again in about 30 sec Sometimes will run longer.

It will do this whether your on it or not. Deck on or off. I've replaced fuel filter and fuel lines. Any ideas?