The generator matrix

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

generates a code of length 99 over GR(64,4) who´s minimum homogenous weight is 680.

Homogenous weight enumerator: w(x)=1x^0+2072x^680+728x^681+1008x^682+1176x^683+3136x^685+5831x^688+1288x^689+1064x^690+1232x^691+896x^693+2569x^696+616x^697+672x^698+280x^699+3136x^701+4312x^704+952x^705+840x^706+896x^707+21x^712+28x^720+14x^728

The gray image is a code over GF(8) with n=792, k=5 and d=680.
This code was found by Heurico 1.16 in 0.511 seconds.