The generator matrix

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

generates a code of length 98 over GR(64,4) who´s minimum homogenous weight is 656.

Homogenous weight enumerator: w(x)=1x^0+294x^656+56x^657+224x^658+112x^659+336x^663+3031x^664+2296x^665+3192x^666+2464x^667+3024x^671+10115x^672+7280x^673+8064x^674+3864x^675+5040x^679+19047x^680+13104x^681+13552x^682+7448x^683+11760x^687+33698x^688+21336x^689+20832x^690+9688x^691+8512x^695+22946x^696+13272x^697+11480x^698+5096x^699+210x^704+259x^712+147x^720+98x^728+119x^736+70x^744+42x^752+21x^760+7x^768+7x^784

The gray image is a code over GF(8) with n=784, k=6 and d=656.
This code was found by Heurico 1.16 in 25.8 seconds.