Peterae....a couple of observations and precautionary measures:
Your driven coils have very low inductance, probably less than 100uH, as such you need to insure that the driving pulse width is extremely narrow or you will generate excessively high peak currents and any glitch from your generator source will fry the FET's.
With such available noise and EMI in the vicinity of your pulse generator, there is a possibility it could glitch and restart, possibly causing a wider pulse delivered to the FET's cooking them. I recommend some small lamps or resistors to limit the current or set the current limit feature on your power supply to a low value.
Your diodes look like they are twisted to the windings but not soldered. If these diodes lose connection for an instant, the flyback pulse can be rather high exceeding the FET voltage rating, possibly breaking down the FET.
As always, I recommend a 10 volt Zener from gate to source to clamp any EMI induced energy and keep it from breaking down the gate.
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