The generator matrix

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

generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+204x^250+276x^251+507x^252+156x^253+360x^254+348x^255+309x^256+132x^257+264x^258+288x^259+306x^260+36x^261+108x^262+84x^263+108x^264+12x^265+84x^266+36x^267+63x^268+24x^269+60x^270+60x^271+60x^272+48x^274+24x^275+12x^276+24x^277+24x^278+36x^279+39x^280+3x^296

The gray image is a code over GF(4) with n=344, k=6 and d=250.
This code was found by Heurico 1.16 in 0.188 seconds.