The generator matrix

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

generates a code of length 33 over GR(16,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+105x^80+354x^84+414x^88+192x^90+483x^92+1728x^94+540x^96+5184x^98+567x^100+5184x^102+501x^104+525x^108+366x^112+171x^116+57x^120+12x^124

The gray image is a code over GF(4) with n=132, k=7 and d=80.
This code was found by Heurico 1.16 in 1.23 seconds.