The generator matrix

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

generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+372x^119+384x^120+372x^122+408x^123+624x^124+192x^126+336x^127+399x^128+120x^130+72x^131+240x^132+348x^135+144x^136+84x^138

The gray image is a code over GF(4) with n=168, k=6 and d=119.
This code was found by Heurico 1.16 in 0.438 seconds.