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

generates a code of length 47 over GR(64,4) who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+392x^304+777x^312+630x^320+679x^328+28672x^329+518x^336+399x^344+315x^352+301x^360+56x^368+28x^376

The gray image is a code over GF(8) with n=376, k=5 and d=304.
This code was found by Heurico 1.16 in 0.464 seconds.