The generator matrix

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

generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 237.

Homogenous weight enumerator: w(x)=1x^0+576x^237+732x^238+264x^239+45x^240+1260x^241+1332x^242+552x^243+36x^244+1320x^245+1428x^246+492x^247+60x^248+1140x^249+1128x^250+384x^251+60x^252+900x^253+996x^254+252x^255+15x^256+864x^257+636x^258+168x^259+18x^260+540x^261+420x^262+132x^263+12x^264+240x^265+168x^266+48x^267+3x^268+72x^269+72x^270+12x^271+3x^272+3x^284

The gray image is a code over GF(4) with n=332, k=7 and d=237.
This code was found by Heurico 1.16 in 8.14 seconds.