Ok, I now have tried to copy 7,51 GB from my nas to my harddrive for about 8 times, all without success. I disabled oplocks to see if that was the problem, but it was not.
What I do see is that the service gets disconnected at the same time everytime. For me that is after copying about 5,42 GB and with (according to Windows) 3 minutes and 30 seconds, and 2,09 GB left.
So it is not random, and I can reproduce this 100%...