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

generates a code of length 79 over GR(64,4) who´s minimum homogenous weight is 528.

Homogenous weight enumerator: w(x)=1x^0+637x^528+735x^536+756x^544+3584x^546+518x^552+25088x^554+357x^560+273x^568+231x^576+238x^584+126x^592+98x^600+70x^608+42x^616+14x^624

The gray image is a code over GF(8) with n=632, k=5 and d=528.
This code was found by Heurico 1.16 in 42.1 seconds.