The generator matrix

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

generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 232.

Homogenous weight enumerator: w(x)=1x^0+255x^232+300x^233+396x^234+1080x^235+1620x^236+1260x^237+1248x^238+1872x^239+3018x^240+1776x^241+1896x^242+2664x^243+3651x^244+2388x^245+2064x^246+2808x^247+3876x^248+2448x^249+2388x^250+2856x^251+3540x^252+2340x^253+1908x^254+2952x^255+3351x^256+1824x^257+1296x^258+1548x^259+2079x^260+1104x^261+792x^262+924x^263+933x^264+312x^265+264x^266+156x^267+174x^268+60x^269+36x^270+36x^271+30x^272+12x^273

The gray image is a code over GF(4) with n=332, k=8 and d=232.
This code was found by Heurico 1.16 in 26.5 seconds.