The generator matrix

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

generates a code of length 62 over GR(64,4) who´s minimum homogenous weight is 424.

Homogenous weight enumerator: w(x)=1x^0+4228x^424+6272x^426+5432x^432+1792x^434+8694x^440+6272x^442+49x^448+14x^456+14x^464

The gray image is a code over GF(8) with n=496, k=5 and d=424.
This code was found by Heurico 1.16 in 0.811 seconds.