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  1  1  2  1  1  1  1  1 2a  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 2a  a  1 2a+2  1 3a  2 3a+3  1  a
 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 2a+1 3a+2 2a+3  1 3a+1 a+1 a+2 3a+1 3a+2 2a+3 a+3
 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 2a  0 2a  0 2a 2a 2a 2a+2  0 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+840x^270+708x^271+120x^272+1692x^274+1320x^275+237x^276+1704x^278+1200x^279+198x^280+1584x^282+936x^283+198x^284+1200x^286+684x^287+87x^288+1032x^290+564x^291+93x^292+564x^294+420x^295+54x^296+396x^298+204x^299+24x^300+156x^302+108x^303+12x^304+48x^306

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 22.4 seconds.