The generator matrix

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

generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 236.

Homogenous weight enumerator: w(x)=1x^0+189x^236+588x^237+264x^238+972x^239+1791x^240+2508x^241+1356x^242+2904x^243+4179x^244+5388x^245+2388x^246+4764x^247+7521x^248+8628x^249+4080x^250+8112x^251+10503x^252+12792x^253+6588x^254+9576x^255+13158x^256+15336x^257+6912x^258+12000x^259+14844x^260+16284x^261+6636x^262+10716x^263+12888x^264+13176x^265+5088x^266+7920x^267+8046x^268+7908x^269+2604x^270+3444x^271+3498x^272+2796x^273+756x^274+840x^275+1026x^276+528x^277+144x^278+192x^279+93x^280+84x^281+48x^282+33x^284+30x^288+9x^292+6x^296+3x^300+6x^312

The gray image is a code over GF(4) with n=344, k=9 and d=236.
This code was found by Heurico 1.16 in 328 seconds.