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Nodal analysis -> transfer function -> step response

I've been trying to get the transfer function for the circuit in the image below, but I seem to be doing something wrong, since the simulation on Circuitlab gives me a different Bode plot and I can't find the error on my own. enter image description here

Here, the equations from the nodal analysis (belong to nodes A, B, C, respectively). Va=Vb=Vc=0 due to virtual ground.

enter image description here

The result I'm getting for the transfer function is: enter image description here

which looks a little weird to me because of the large numbers, and which translates to this Bode plot:

enter image description here

Simulation on Circuitlab, on the other hand, outputs the following: enter image description here

From this transfer funtion I should get and plot the step response, which I get calculating the inverse Laplace from H(s)/s, but since the transfer function doesn't seem to be ok I'm not getting these right either.

I'd be very thankful if anyone could point me in the right direction.