The generator matrix

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

generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 230.

Homogenous weight enumerator: w(x)=1x^0+660x^230+732x^231+849x^232+468x^233+2448x^234+1860x^235+1404x^236+852x^237+3684x^238+2772x^239+2103x^240+960x^241+4800x^242+2952x^243+2421x^244+1152x^245+4560x^246+3228x^247+2151x^248+936x^249+4776x^250+3168x^251+2181x^252+948x^253+3804x^254+2364x^255+1392x^256+576x^257+2040x^258+984x^259+567x^260+216x^261+732x^262+312x^263+240x^264+36x^265+144x^266+60x^267+3x^268

The gray image is a code over GF(4) with n=328, k=8 and d=230.
This code was found by Heurico 1.16 in 293 seconds.