The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 2a+2  1  1 2a+2  1  1  1  0  1  1  1  1 2a+2 2a+2  1  1  1  1  2 2a 2a  2  1  0  1  1  1  1  1  0  1  1
 0  1  0  0  0 2a+2  1 3a+2 3a+3 2a+3 2a+3  a 3a+2  1 3a+3 a+1  1  1 a+1 2a  1 2a+1 2a+2 3a a+2  1  1 3a 3a+3 a+2 a+1  1  1  1 2a+2  0 2a+2  2  a  0 3a+1  3 2a+2 3a+2  0
 0  0  1  1  a 3a+3  1  3  1  a  0  2 3a+3 3a+3 a+3 3a  3 3a+3  0 3a+1  a  0 2a+2 2a 3a 3a+1 a+2  3 3a  a a+3  2  1  a  1 2a+3  1 2a+1 3a+3 a+2 3a+1 3a+2  1 2a+1 a+2
 0  0  0 2a+2  0  0  0  2  2  2 2a+2 2a 2a+2 2a+2 2a 2a 2a  2 2a+2  2  2  0 2a  2 2a+2  0 2a  0 2a+2 2a  2 2a  2 2a 2a 2a+2  0 2a  0  0  0  2 2a+2 2a+2  2
 0  0  0  0  2 2a+2 2a  2 2a+2 2a 2a  2  2 2a 2a  0  2 2a+2  2  2  0 2a+2  0 2a  0  2  0 2a+2 2a+2 2a+2 2a  0  2 2a+2  2 2a+2 2a+2  0  0 2a  0  2  2  0  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+252x^120+564x^121+216x^122+144x^123+1158x^124+2772x^125+1080x^126+456x^127+2601x^128+4932x^129+1500x^130+504x^131+3924x^132+7296x^133+2064x^134+768x^135+5238x^136+9564x^137+2448x^138+624x^139+4305x^140+6612x^141+1560x^142+504x^143+1692x^144+1932x^145+348x^146+72x^147+165x^148+120x^149+48x^152+45x^156+18x^160+3x^164+6x^168

The gray image is a code over GF(4) with n=180, k=8 and d=120.
This code was found by Heurico 1.16 in 12.3 seconds.