The generator matrix

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

generates a code of length 94 over GR(16,4) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+876x^270+672x^271+144x^272+1608x^274+1440x^275+237x^276+1788x^278+1056x^279+195x^280+1476x^282+900x^283+129x^284+1392x^286+768x^287+180x^288+828x^290+684x^291+30x^292+612x^294+276x^295+33x^296+468x^298+288x^299+57x^300+132x^302+60x^303+15x^304+36x^306+3x^308

The gray image is a code over GF(4) with n=376, k=7 and d=270.
This code was found by Heurico 1.16 in 12 seconds.