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

generates a code of length 92 over GR(16,4) who´s minimum homogenous weight is 268.

Homogenous weight enumerator: w(x)=1x^0+174x^268+480x^269+180x^270+252x^271+372x^272+480x^273+216x^274+132x^275+375x^276+312x^277+60x^278+96x^279+93x^280+216x^281+36x^282+36x^283+54x^284+120x^285+48x^286+24x^287+63x^288+24x^289+12x^290+24x^291+54x^292+36x^293+12x^295+24x^296+24x^297+24x^298+36x^301+3x^304+3x^332

The gray image is a code over GF(4) with n=368, k=6 and d=268.
This code was found by Heurico 1.16 in 0.218 seconds.