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

generates a code of length 97 over GR(64,4) who´s minimum homogenous weight is 672.

Homogenous weight enumerator: w(x)=1x^0+252x^672+3584x^679+196x^680+35x^704+21x^712+7x^776

The gray image is a code over GF(8) with n=776, k=4 and d=672.
This code was found by Heurico 1.16 in 0.164 seconds.