The generator matrix

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

generates a code of length 32 over GR(16,4) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+312x^84+96x^85+156x^86+864x^88+576x^89+336x^90+1182x^92+1536x^93+936x^94+2112x^96+2496x^97+1104x^98+1848x^100+1440x^101+540x^102+675x^104+84x^108+51x^112+24x^116+9x^120+6x^124

The gray image is a code over GF(4) with n=128, k=7 and d=84.
This code was found by Heurico 1.16 in 37.9 seconds.