The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+264x^80+348x^81+396x^82+1284x^84+1488x^85+768x^86+1950x^88+1512x^89+696x^90+2094x^92+1872x^93+864x^94+1431x^96+924x^97+348x^98+120x^100+18x^104+6x^108

The gray image is a code over GF(4) with n=120, k=7 and d=80.
This code was found by Heurico 1.16 in 0.391 seconds.