The generator matrix

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

generates a code of length 31 over GR(16,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+135x^80+48x^82+288x^83+678x^84+288x^86+720x^87+1074x^88+768x^90+1872x^91+2112x^92+1248x^94+2160x^95+2079x^96+720x^98+1104x^99+882x^100+90x^104+60x^108+45x^112+12x^116

The gray image is a code over GF(4) with n=124, k=7 and d=80.
This code was found by Heurico 1.16 in 0.588 seconds.