Implementation of an amplifier in LTSpice
Here, my answer is similar to Spehro's with the following differences.


hFE reduces sharply to 10% if Vce &lt; ~0.5 @ 5mA due to saturation effects. 


Vce(sat) increases with Ic depending on Q (up to 2V at Imax)

Vcm >=1.5V depends on the load or negative feedback, if used.
R1 (load) >= than R2 ( current bias)


Proof of concept with 100 uV signal




open-loop gain is large Aol ~ 33k * R1/R2 (with hFE=100)

  10uV Vcm offset is significant with open loop.

DC offset due to differences in Vcm and hFE, shown in 2nd simulation depends on hFE.
also, the load current is DC offset from Vcc/2 due to connection at 0V thus be aware of DC offset voltage or use neg. FB.