The generator matrix

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

generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+156x^121+84x^122+120x^123+33x^124+216x^125+48x^126+18x^128+156x^129+36x^130+72x^131+24x^134+9x^136+48x^137+3x^148

The gray image is a code over GF(4) with n=168, k=5 and d=121.
This code was found by Heurico 1.16 in -3.24e-008 seconds.