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

generates a code of length 96 over GR(64,4) who´s minimum homogenous weight is 660.

Homogenous weight enumerator: w(x)=1x^0+784x^660+3752x^661+6475x^664+1120x^668+5096x^669+1967x^672+784x^676+1848x^677+6328x^680+896x^684+3640x^685+28x^688+21x^696+28x^704

The gray image is a code over GF(8) with n=768, k=5 and d=660.
This code was found by Heurico 1.16 in 0.492 seconds.