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

generates a code of length 65 over GR(64,4) who´s minimum homogenous weight is 424.

Homogenous weight enumerator: w(x)=1x^0+112x^424+672x^432+777x^440+588x^448+28672x^455+476x^456+336x^464+385x^472+322x^480+189x^488+140x^496+70x^504+21x^512+7x^520

The gray image is a code over GF(8) with n=520, k=5 and d=424.
This code was found by Heurico 1.16 in 0.694 seconds.