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

generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+288x^235+624x^236+396x^237+648x^238+1860x^239+1500x^240+1116x^241+996x^242+3156x^243+2721x^244+1932x^245+1440x^246+3756x^247+3336x^248+2184x^249+1572x^250+4392x^251+3438x^252+2112x^253+1608x^254+4260x^255+2985x^256+2268x^257+1356x^258+3372x^259+2652x^260+1428x^261+900x^262+2292x^263+1464x^264+648x^265+528x^266+960x^267+534x^268+180x^269+156x^270+216x^271+186x^272+24x^273+12x^274+24x^275+15x^276

The gray image is a code over GF(4) with n=336, k=8 and d=235.
This code was found by Heurico 1.16 in 26.8 seconds.