Well well, I found a (good) enough solution to this problem.
First af all, there is definitely a problem with the sensor. The thing is, this kind of full frame sensor is stitched from two parts.
This is causing the left/right split. The purple/green artifacts are somehow caused by the electronics.
Here is more info about it:
https://www.cloudynights.com/topic/519941-sony-a7s-split-sensor-and-banding/page-4Let's see what can be done:
This is the before (stacked and processed with high stretch +calibration with biases and flats) 40x240 sec. ISO100:

You can clearly see the left/right split and the coloured stripes.
First thing to do is to use a ISO of 640 or higher AND expose at least to the middle. This improves the SNR ratio and removes the horizontal stripes (at least it reduces it).
This photo is a stack of a 10x120sec ISO 640 no flats darks and biases.
The coloured lines are not visible anymore.

Next step is to use flats and biases. I exposed the flats the same like the biases: 1/125 of a second ISO 640 (histogram peak at the middle).
The vertical line are removed by the flats. Somehow this didn't work before (probably messed up the flats).
This is a picture after calibrated with flats and biases:

The artifacts are now greatly reduced!
I haven't found any other method, but this seems to work (more testing is needed).