Despite me being clueless on filters, I am amazed nobody spotted that this circuit
is likely to oscillate, by looking at what the phase is doing in the plot I posted above.
There is only one way this circuit can oscillate and that is the feedback cap. There is no other feedback. And if one starts at say 500pF and plots the amplitude and phase every 500pF, one finds the gain peaks sharply around 2000pF
and after that the phase remains oscillation-favourable on the right hand side, eventually. There is a dramatic change either side of 2000pF.
This is with 1000pF