Just caught the tail end of this but I had a similar problem with a 346 but mine would run at only about 8000 rpm.
I even called a trusted mechanic and got him to listen to it over the phone, it worked well on the phone.
I looked at it later and noticed the only difference was the mesh air filter was off because I wanted to be able to see the carb adjuster screws and tell which one was which in case I was told to move a high or low jet.
I could see the mesh had some fines in it but no big deal, so I soaked the whole mesh with a carb cleaner and made it perfectly clean.
Hasn't been a problem since....