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  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  0  1  1  1  1 a^2*X  1  1  1  1  1  1 a*X  1  1  1  1  1  1  1  1  1  1  1  1 a*X  1
 0  1  1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6  a a^6*X+a^2 a^6*X+a^4  1  0 a^3 a^6*X+a^6 a^6*X+1 a^5 a^6*X+a^6  a  1 a^6*X+a^4  0 a^6*X+a^2 a^5 X+a^3 a^6*X+1 a^5*X+a^2  X a^3  1 X+a^3 X+a  X a^5*X+a^4 a^5*X+a^2 a^5*X+a^6 a^4*X+a^4 X+a^5 a*X+a  X a^4*X+a^6 a^6*X+1 a^3*X a^4*X+a^6 a^4*X+a^4 a^4*X+a^3 a^5*X+a^2 a^5*X a^4*X+a^2 a^6*X+a^4 a^5*X+a^3 a^2*X  1 X+a^5 a^3 a^2*X+a^5 a^3*X+a  0 a^6*X+a^3 X+a^4 a^4*X+1 a^3*X+a^4 a^4  1 a^6 a^5*X+a^4 a^4*X+1 a*X+1 X+a a^2*X+a^4  1 a*X+a a^2 X+a^4 a^5  1 a^3*X+a^2 a^2*X+a^2 X+a a^2*X+a^3 a^6*X+a a^5*X+1  1 a^3*X+a^2 a*X+a^5 X+a^5 a^2*X+a^6 a^5*X+a^6 a^5*X+a^2 a^3*X+a^6 a^5*X+a^5 a*X+a^5 a^6 a^2*X X+1  1  0
 0  0 a^6*X  0  X  X a^3*X  X a^2*X a^3*X a^6*X a^2*X  X a^4*X a^5*X  0 a^6*X  X a^5*X a*X a*X a^4*X a^3*X  X a^5*X a^6*X a^5*X a^5*X a^4*X  X a^4*X a^4*X a^4*X a^5*X a*X a^2*X a*X a^2*X a^5*X  0  X  0  0 a^2*X a^4*X a^5*X  0  0  0 a^5*X a^4*X a^2*X a^6*X a^4*X a^2*X  0 a^4*X a^2*X a^5*X a^6*X a^2*X a^4*X  X  X a^5*X a^6*X  X a^4*X a^5*X a^4*X a^6*X a^5*X  X a^3*X a*X a^3*X a^6*X a^2*X  X  0 a^2*X a^5*X a^3*X a*X a*X a*X a^2*X a*X  0 a^2*X  X a^3*X  0  X a^4*X a^5*X  X a^2*X
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^6*X a^5*X a^3*X a^3*X a^2*X a^2*X a*X a^2*X  X  0 a^4*X a*X  X a*X a^4*X  X a^6*X  0 a*X a^6*X  X a^3*X a^4*X a^4*X  X a*X a^3*X  0 a^4*X a^5*X a*X  X a^4*X a^5*X a^4*X a*X a^2*X a^3*X a^5*X  X a*X a^3*X a^5*X a^2*X a^5*X a^4*X a^6*X a^2*X a^3*X  X  0 a^6*X a^2*X a^4*X a*X  X a^2*X a^6*X a^5*X a^4*X  X a*X a^5*X a^3*X  X a^5*X a*X a^3*X a^6*X a^4*X a^2*X  X a*X a^5*X a*X a^6*X a^2*X a^3*X a^4*X a^5*X a^2*X  0 a^3*X a^6*X a^5*X a^4*X a*X

generates a code of length 98 over F8[X]/(X^2) 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 linear code over GF(8) with n=784, k=6 and d=656.
This code was found by Heurico 1.16 in 24.3 seconds.