The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1 2a  1  1  1  1  1  1  1  1  1 2a^2  1  1  1 2a  1  1  1  1  1  1  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a 3a^2+2 a^2+3a  1  0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2 3a^2+2a+3 2a^2+3a+1  1 a^2+3a a^2+3a+3  1  a a^2+3a+1 2a^2+3 2a^2+3a+3 3a^2+3  0 a+2 3a^2+3 3a^2+2a+2 3a^2+3 a+2 2a^2+3a+3 2a^2+3  1  2 3a 2a^2+3a+3  1 2a^2+2a+3 2a^2+2a+1 a^2+3a+1 a^2+a 3a^2+2a a^2+a+3 3a+2 3a+1 a^2+a+1  1 a^2+2a+2 2a^2+3a+1 3a^2+2a+1  1 2a^2+2a+3 a^2+1 3a+1 2a^2+a+3 a^2+3a+3  a a^2+a+2  0
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2 2a^2  2 2a^2+2a 2a^2+2a+2  0 2a^2+2a  2 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2a  2  0 2a^2+2a+2 2a^2 2a^2 2a^2+2a+2 2a 2a^2+2a+2 2a^2+2  0 2a^2 2a^2+2a+2  0 2a  0 2a^2+2a+2 2a+2 2a+2 2a 2a+2 2a^2+2a 2a^2+2a+2 2a^2 2a 2a+2 2a 2a^2 2a^2+2 2a^2 2a 2a^2+2a 2a^2  2 2a^2+2a+2 2a^2+2  0 2a^2+2a  0  2 2a 2a+2 2a^2+2a+2  0
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2+2a+2 2a 2a^2 2a^2 2a^2+2a 2a  2 2a^2+2  2  0 2a^2+2a  2  2 2a^2+2a 2a+2 2a^2+2a  2  0  0 2a^2+2a  2 2a^2 2a^2+2a 2a 2a  0 2a^2+2a 2a^2+2  0 2a^2+2a+2 2a^2  0 2a+2 2a^2 2a+2 2a^2+2 2a+2 2a^2+2a 2a^2  2 2a+2 2a^2+2a 2a^2 2a+2 2a^2+2 2a+2  0 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+133x^424+56x^428+56x^430+672x^431+595x^432+672x^433+896x^436+1064x^437+1512x^438+8960x^439+805x^440+3528x^441+5936x^444+3528x^445+4536x^446+19264x^447+560x^448+5544x^449+21056x^452+11256x^453+11256x^454+46592x^455+525x^456+11480x^457+29400x^460+12824x^461+11312x^462+39200x^463+399x^464+7448x^465+385x^472+259x^480+210x^488+126x^496+70x^504+28x^512

The gray image is a code over GF(8) with n=520, k=6 and d=424.
This code was found by Heurico 1.16 in 16 seconds.