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

generates a code of length 73 over GR(64,4) who´s minimum homogenous weight is 480.

Homogenous weight enumerator: w(x)=1x^0+175x^480+623x^488+791x^496+4109x^504+25627x^512+399x^520+350x^528+231x^536+161x^544+133x^552+91x^560+42x^568+28x^576+7x^584

The gray image is a code over GF(8) with n=584, k=5 and d=480.
This code was found by Heurico 1.16 in 0.804 seconds.