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

generates a code of length 78 over GR(64,4) who´s minimum homogenous weight is 520.

Homogenous weight enumerator: w(x)=1x^0+532x^520+700x^528+812x^536+3584x^539+504x^544+25088x^547+455x^552+287x^560+182x^568+224x^576+168x^584+105x^592+70x^600+35x^608+21x^616

The gray image is a code over GF(8) with n=624, k=5 and d=520.
This code was found by Heurico 1.16 in 0.894 seconds.