The generator matrix

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

generates a code of length 95 over GR(16,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+300x^272+528x^273+72x^274+612x^275+1095x^276+840x^277+204x^278+888x^279+1278x^280+1128x^281+156x^282+672x^283+1251x^284+1020x^285+72x^286+600x^287+756x^288+600x^289+60x^290+312x^291+669x^292+492x^293+120x^294+432x^295+456x^296+396x^297+48x^298+168x^299+420x^300+264x^301+36x^302+96x^303+153x^304+84x^305+60x^307+18x^308+24x^309+3x^316

The gray image is a code over GF(4) with n=380, k=7 and d=272.
This code was found by Heurico 1.16 in 1.83 seconds.