I conducted another test, as the method of current measurement was questioned:
What i found is, that the magnetic field, that is produced by the changing current, induces a bigger voltage on the signal, than the actual voltage that is produced by the current in the shunt itself.
I did it like this:
Used a resistor wire, and measured with a short standart ground spring (pink trace), and did another measure with a longer ground wire (red trace), that had about 2-3 times as much loop area. Those two measures were taken on the same point (pretty close at least) of the resistor wire The second measure had much bigger Vpp values.
Therefore i did not measure to little noise, i just measured too much current.