The generator matrix

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

generates a code of length 54 over GR(64,4) who´s minimum homogenous weight is 367.

Homogenous weight enumerator: w(x)=1x^0+2800x^367+945x^368+1176x^369+3136x^370+5600x^375+1260x^376+784x^377+896x^378+9520x^383+1820x^384+1624x^385+3136x^386+49x^392+7x^408+14x^416

The gray image is a code over GF(8) with n=432, k=5 and d=367.
This code was found by Heurico 1.16 in 0.171 seconds.