The generator matrix

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

generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 232.

Homogenous weight enumerator: w(x)=1x^0+372x^232+180x^233+348x^235+864x^236+276x^237+156x^239+582x^240+144x^241+120x^243+309x^244+60x^245+48x^247+156x^248+36x^249+72x^251+108x^252+24x^253+12x^255+126x^256+12x^259+39x^260+48x^261+3x^272

The gray image is a code over GF(4) with n=320, k=6 and d=232.
This code was found by Heurico 1.16 in 0.156 seconds.