Hi!
So, I have tried to implement the circuit! I don't believe I got 100% perfect results, but I got results, to which I owe you 100%

!
This is my general input signal (disconnected to amplification circuit):

With a gain of 3 or 6 (can't remember exactly) I got this:

When I see the input signal it also seems to attenuated.
Only setting the gain to 30 I got to see decent amplification (but with lots of noise)!
The circuit I used was the following:

(I started with C1 = 2.2uF but changing to 10uF got me better results.. with 2.2uF I couldn't barely see cough signal! only when i tapped the piezo with my finger!)
Any hints? :|