I think it is not 15kW, but 1.5kW fan controller. Then the ADC range has to be set-up to +-125A max peak current.
I suppose the sense resistor is 1mOhm, then max peak current of 125A => 125mV and with Ga = 20 the amp output = 2.5V + 2.5Vref = 5V. So there is no such margin area. It could be good to decrease the Gamp to lower value e.g. 18.
The next very important aspect is the PCB layout design and position of critical components to each other. The parasitic inductance can very simply cause resonant peaks on measured signal and consecutive fault events.
The scope probe connection during measurement is important also. The good option is to use the spring pin on GND instead of standard short wire with clips and isolated grounds between application and scope. In that case you can simply measure non-ground referenced signals also.
https://electronics.stackexchange.com/questions/136123/how-do-you-attach-an-oscilloscope-ground-spri...
When you have measured right signals you can find the place where the issue arise. It is mostly on not proper PCB design or components positions.
The next solution could be use the current sense IC which has isolated internal current sense resistor (usually 0.1 – 0.2 mOhm) and also possible filtered output signal. Then the high current part of design can be isolated from sensitive current sense circuitry and the PCB layout influence can be mostly eliminated.
Please see the attached Guidelines for the external component selection also.
I wish you success in solve this issue.