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

generates a code of length 99 over F8[X]/(X^2) who´s minimum homogenous weight is 664.

Homogenous weight enumerator: w(x)=1x^0+329x^664+56x^665+112x^666+392x^670+616x^671+7070x^672+1624x^673+2296x^674+2912x^678+3808x^679+18214x^680+4256x^681+4424x^682+5040x^686+5040x^687+33558x^688+6496x^689+6776x^690+11872x^694+11872x^695+53942x^696+10472x^697+10024x^698+8456x^702+7336x^703+33446x^704+5768x^705+5040x^706+259x^712+154x^720+133x^728+126x^736+70x^744+28x^752+56x^760+49x^768+21x^776

The gray image is a linear code over GF(8) with n=792, k=6 and d=664.
This code was found by Heurico 1.16 in 24.3 seconds.