The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+189x^76+204x^77+96x^78+768x^79+1374x^80+1200x^81+252x^82+2208x^83+3417x^84+2496x^85+672x^86+5040x^87+7011x^88+4464x^89+888x^90+7728x^91+8334x^92+4764x^93+864x^94+5136x^95+4770x^96+2112x^97+300x^98+624x^99+408x^100+120x^101+45x^104+33x^108+15x^112+3x^116

The gray image is a code over GF(4) with n=120, k=8 and d=76.
This code was found by Heurico 1.16 in 7.35 seconds.