The generator matrix

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

generates a code of length 43 over GR(16,4) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+186x^120+96x^121+240x^123+687x^124+192x^125+192x^127+597x^128+192x^129+96x^131+591x^132+192x^133+192x^135+402x^136+96x^137+48x^139+72x^140+6x^144+15x^148+3x^156

The gray image is a code over GF(4) with n=172, k=6 and d=120.
This code was found by Heurico 1.16 in 0.0627 seconds.