Trembling, buzzing stern

At speeds from 100 km/h one stops a deep buzzing from the rear and the rear starts to shake. If one takes away gas, it is gone. The same phenomena occur when braking up to 60 km/h. If one drives a longer distance uphill, the trembling transfers to the whole vehicle. I hope that it is only the drives. Omega B, 2.5 DTI (150 hp), Ez. 06.2002