The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1
 0  2  0  0  2  2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2a+2  2 2a^2+2a+2  0 2a 2a^2+2a  0 2a+2 2a^2+2a 2a^2+2a+2 2a 2a^2+2 2a 2a^2+2a 2a^2+2a  0  2 2a  2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a+2  0 2a^2 2a^2+2a+2  2 2a^2+2a  2 2a^2+2a 2a^2+2a+2  0
 0  0  2  0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2+2 2a 2a^2+2 2a^2 2a 2a^2+2a+2 2a 2a  2  0 2a^2+2a+2 2a^2 2a^2+2a  0 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a^2+2a 2a+2 2a^2+2a+2  0  2 2a^2 2a^2+2  0 2a^2+2a+2  0 2a^2+2 2a^2+2 2a 2a^2+2 2a^2+2 2a 2a^2+2a+2
 0  0  0  2  2 2a^2+2a 2a^2+2a  2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2 2a+2  2  2  0 2a^2+2a 2a^2+2 2a 2a^2  0 2a^2+2 2a+2 2a^2+2a  0 2a^2+2a+2 2a+2 2a 2a^2 2a+2  2 2a^2+2a 2a^2+2 2a  2  0 2a^2+2 2a^2+2 2a^2+2a+2 2a^2+2a+2  0 2a^2+2a+2

generates a code of length 42 over GR(64,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+651x^272+686x^280+3584x^287+742x^288+25088x^295+602x^296+490x^304+378x^312+385x^320+126x^328+35x^336

The gray image is a code over GF(8) with n=336, k=5 and d=272.
This code was found by Heurico 1.16 in 40.3 seconds.