I used to get midi noise and hum from grounding issues.
The solution was to swap all of my audio cables for balanced ones. It cost a fortune but it was definately worth it. Never had a problem since.
I can now have 10 synths switched on and enjoy absolute silence when nothing is playing.
This might be amazing to some but in 20 years of using midi, I have never once come across a faulty midi cable.
I would look at the audio cabling first.

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