Op-amp output oscillating on one of two (virtually) identical circuits
Your circuit is not the same as I can find on the datasheets or application notes.
In particular, the phase shift in R4.1/C2.1 together with the phase shift in C3.1 and the sensor is almost as if it has been designed to be an oscillator.
Can you link to the recommended circuit?
Does it oscillate if the sensor is disconnected?