Gain in Common Emitter Amplifier
The gain of a true common-emitter (emitter at AC common or "ground") is approximately:

$$A_v = -g_mR_C||R_L = -g_m 7.5 \Omega$$

for your resistor values.  For a (magnitude) gain of 7, the required transconductance is:

$$g_m = \frac{7}{7.5} = \frac{I_C}{V_T} \Rightarrow I_C \approx 23mA$$

But, according to your schematic:

$$I_C \approx 8mA$$

Back to the drawing board!

Also, do realize that the above calculation is for small-signal gain.  Since you have the emitter at AC ground, this amplifier is quite non-linear for large signals and the distortion is quite evidently large in both transient simulations you provide.