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

generates a code of length 59 over GR(64,4) who´s minimum homogenous weight is 384.

Homogenous weight enumerator: w(x)=1x^0+224x^384+700x^392+693x^400+630x^408+28672x^413+420x^416+518x^424+322x^432+217x^440+203x^448+112x^456+49x^464+7x^472

The gray image is a code over GF(8) with n=472, k=5 and d=384.
This code was found by Heurico 1.16 in 0.617 seconds.