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

generates a code of length 80 over GR(64,4) who´s minimum homogenous weight is 528.

Homogenous weight enumerator: w(x)=1x^0+126x^528+630x^536+749x^544+588x^552+29190x^560+420x^568+308x^576+189x^584+224x^592+147x^600+119x^608+35x^616+28x^624+7x^632+7x^640

The gray image is a code over GF(8) with n=640, k=5 and d=528.
This code was found by Heurico 1.16 in 0.906 seconds.