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

generates a code of length 97 over GR(16,4) who´s minimum homogenous weight is 268.

Homogenous weight enumerator: w(x)=1x^0+288x^268+240x^269+252x^270+960x^271+1881x^272+2316x^273+564x^274+2964x^275+4824x^276+4656x^277+1272x^278+4956x^279+8250x^280+8016x^281+1752x^282+8076x^283+11796x^284+10644x^285+2616x^286+10056x^287+15183x^288+12852x^289+3132x^290+11568x^291+17325x^292+13608x^293+3552x^294+11856x^295+15762x^296+12900x^297+2604x^298+8964x^299+11991x^300+8880x^301+1692x^302+5448x^303+6399x^304+4128x^305+768x^306+2100x^307+2034x^308+1320x^309+216x^310+612x^311+405x^312+300x^313+12x^314+24x^315+57x^316+12x^317+21x^320+15x^324+6x^328+6x^332+9x^336+3x^344

The gray image is a code over GF(4) with n=388, k=9 and d=268.
This code was found by Heurico 1.16 in 429 seconds.