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  1  1  1  1  2  1  1  1 2a  1  1  1  1  1 2a^2  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  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 2a^2+3  0  a 2a^2+3a+3  1 a^2+3a+1 3a^2+3 a^2+a  1 2a^2+3 3a^2+2a+2 3a^2+3 2a^2+2a+1 a^2+a  1 2a^2+a+1 3a^2+3a 2a^2+3a+3 3a^2+2a a^2+2a+2 a+1 a^2+1 3a^2+a+2 3a^2+3a 3a^2+2a a^2+3  2 3a^2+2a+3 2a^2+a+1 3a^2+3a 3a^2+3 a^2+3a+1 2a^2+3a+3 a^2+3 3a+3 3a^2+3a 2a^2 a+2 a^2+3a+2 3a^2+1 a+2 2a^2+2a+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+2 2a^2+2a 2a^2+2a 2a^2 2a^2+2  0 2a^2+2a+2 2a 2a^2+2 2a 2a^2 2a^2+2a+2 2a^2+2a+2 2a^2  0  2  0  2 2a^2 2a 2a^2+2a  2 2a^2+2 2a^2+2a+2 2a^2+2 2a^2+2a  2 2a^2+2a 2a  0 2a^2+2a 2a^2+2 2a^2 2a+2 2a^2+2  2 2a^2 2a^2  0  0 2a^2+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 2a+2 2a+2 2a 2a^2 2a^2 2a 2a^2+2a+2  0 2a  2  0 2a  2 2a^2+2a+2 2a+2  0  2 2a^2+2a 2a^2+2a 2a^2+2 2a^2 2a^2+2  2 2a^2+2  0 2a^2+2a 2a+2 2a^2+2a  0  0 2a 2a^2 2a^2+2a 2a^2+2 2a^2+2a+2 2a 2a^2+2  0 2a^2+2a+2 2a+2 2a^2+2a 2a

generates a code of length 67 over GR(64,4) who´s minimum homogenous weight is 440.

Homogenous weight enumerator: w(x)=1x^0+196x^440+112x^444+616x^447+3052x^448+1624x^450+1120x^451+3304x^452+3808x^455+8568x^456+8568x^458+3360x^459+8232x^460+5040x^463+12642x^464+31752x^466+11424x^467+23352x^468+11872x^471+22575x^472+44072x^474+12768x^475+22344x^476+7336x^479+13482x^480+252x^488+287x^496+147x^504+147x^512+70x^520+21x^528

The gray image is a code over GF(8) with n=536, k=6 and d=440.
This code was found by Heurico 1.16 in 16 seconds.