In our block of 18 units we had a similar problem. One of the residents who is a plumber told us to all turn off the water supply to washing machines if they are front loaders. To our astonishment we found that it did reduce the problem to an acceptable level.
To get everyone to turn the water off was difficult at first but once we did it and people realized it worked it has become second nature for everyone. Whenever a new person moves in we put a friendly note in their letter box about it.
The amazing thing is that it costs nothing.