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

generates a code of length 91 over GR(64,4) who´s minimum homogenous weight is 624.

Homogenous weight enumerator: w(x)=1x^0+49x^624+672x^625+2912x^626+7840x^629+224x^632+1456x^633+3528x^634+2240x^637+126x^640+448x^641+1680x^642+7840x^645+49x^648+1008x^649+2632x^650+28x^656+35x^664

The gray image is a code over GF(8) with n=728, k=5 and d=624.
This code was found by Heurico 1.16 in 0.451 seconds.