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

generates a code of length 98 over GR(64,4) who´s minimum homogenous weight is 673.

Homogenous weight enumerator: w(x)=1x^0+1232x^673+5208x^674+273x^680+2240x^681+9072x^682+147x^688+1680x^689+3864x^690+21x^696+2016x^697+6944x^698+70x^712

The gray image is a code over GF(8) with n=784, k=5 and d=673.
This code was found by Heurico 1.16 in 81.2 seconds.