The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^120+159x^124+48x^126+207x^128+432x^130+138x^132+1296x^134+126x^136+1296x^138+72x^140+102x^144+66x^148+24x^152+33x^156+18x^160+12x^164+12x^168

The gray image is a code over GF(4) with n=180, k=6 and d=120.
This code was found by Heurico 1.16 in 0.13 seconds.