My son is the same , firstly i would suggest reading the book "the reason i jump" written by an autistic Japanese boy and translated into english. Secondly invest in a mini trampoline for at home it will help them channel the energy (get a crash mat for underneath to help with noise issues).

I share your pain. The OT told me to get a small exercise trampoline and put it in the house so that he can jump to his hearts content safely. Well her house must be bigger than mine, there is simply no room plus the jumping vibrates through the whole house via the floorboards. I know that it can be a communication form also sensory as the constant movement helps to keep them calm.
I actually have no suggestion that could help as I too am trying to find a positive solution to this

My son does the same thing. He is wearing out my furniture, LOL! My OT suggested that he needs that stimulation. The compression on his joints is soothing to him....not her exact words. Her suggestion was to let him jump, get a trampoline if possible. Second suggestion was to get him a weighted vest, etc. It helps them to be more aware of their bodies and where they are in "space". I got a vest and blanket for my son. The vest helps when I want him to sit long enough to concentrate on something. The blanket helps when he can't settle down for bed. When we are out, I let him jump until he's had enough and I'm actually trying to get him into a trampoline program.