The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  2  1  1  1  1  1  1  1  0  1  1 2a  2  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1
 0  1  1  a 3a+3  0 2a+3 a+1  a  1  0 2a+3  a  1 a+1 a+2  1 2a+3  0 a+1 a+1  a  2 2a+3  1  2 3a  1  1 2a+1 3a  3 3a+2  1 a+2 2a+3 a+2 2a+1 3a+2  1 3a+1 a+3 2a  a  0
 0  0 2a+2  0  0  0  2  2  2  2  2  2 2a+2 2a+2 2a 2a+2 2a+2  0 2a+2 2a 2a+2  0  2  0 2a+2 2a  2  2 2a 2a  0 2a+2  0  2 2a 2a+2  2  2 2a+2 2a+2 2a+2 2a+2  0 2a+2 2a
 0  0  0  2  0  2 2a+2  0  2 2a+2  2  0 2a 2a+2  0  0  2 2a  2  0 2a+2  2 2a  0 2a+2  2 2a  2 2a+2  2  2  0 2a  0  2  2 2a+2  2 2a 2a+2 2a 2a+2 2a+2  0 2a
 0  0  0  0 2a+2 2a+2  2 2a+2 2a  0 2a+2  2  2 2a  2  2  2  0  0 2a  0 2a 2a+2 2a 2a+2 2a+2  2 2a 2a 2a 2a+2 2a+2 2a 2a  0 2a 2a 2a+2 2a 2a 2a+2  2  0 2a+2  2

generates a code of length 45 over GR(16,4) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+93x^120+432x^123+414x^124+1368x^127+669x^128+2136x^131+576x^132+3648x^135+972x^136+3312x^139+675x^140+1320x^143+465x^144+72x^147+123x^148+42x^152+27x^156+21x^160+9x^164+9x^168

The gray image is a code over GF(4) with n=180, k=7 and d=120.
This code was found by Heurico 1.16 in 0.968 seconds.