The generator matrix

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

generates a code of length 32 over GR(16,4) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+90x^76+312x^80+435x^84+1035x^88+3048x^92+5724x^96+4476x^100+555x^104+402x^108+195x^112+93x^116+18x^120

The gray image is a code over GF(4) with n=128, k=7 and d=76.
This code was found by Heurico 1.16 in 1.16 seconds.