The generator matrix

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

generates a code of length 96 over GR(16,4) who´s minimum homogenous weight is 269.

Homogenous weight enumerator: w(x)=1x^0+288x^269+240x^270+204x^271+273x^272+1428x^273+1548x^274+756x^275+618x^276+2724x^277+2472x^278+936x^279+1101x^280+3792x^281+2892x^282+1500x^283+1134x^284+4464x^285+3420x^286+1560x^287+1128x^288+4356x^289+3756x^290+1620x^291+1059x^292+4536x^293+3240x^294+1320x^295+1044x^296+3252x^297+2208x^298+852x^299+489x^300+2016x^301+1356x^302+396x^303+171x^304+600x^305+336x^306+72x^307+66x^308+180x^309+24x^310+15x^312+12x^313+12x^314+21x^316+12x^320+15x^324+3x^328+6x^332+6x^336+3x^344+3x^352

The gray image is a code over GF(4) with n=384, k=8 and d=269.
This code was found by Heurico 1.16 in 30.9 seconds.