Gulfstream IV / G350 / G450
Flight Crew Multiengine
Flight Crew Last 90 Days 60; Flight Crew Total 12800; Flight Crew Type 3600
Inflight Event / Encounter Wake Vortex Encounter
General None Reported / Taken
Procedure; Environment - Non Weather Related
We took off from TEB [and] we were cleared to climb to FL400. About to cross FL340 we experienced a very heavy wake turbulence trying to roll the plane to the right; so the auto pilot was kicked off. I tried to keep wings level and in about 15 seconds we were out of it. On the TCAS we had a plane on same airway; 10 to 11 miles ahead of us; and that's why I think air traffic controllers [should] advise pilots when a heavy jet is ahead [of] a lighter jet to avoid these situations.
G-IV Captain reported encountering wake turbulence at FL340 from another aircraft about 10 miles ahead of them.