The generator matrix

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

generates a code of length 99 over F8[X]/(X^2) who´s minimum homogenous weight is 674.

Homogenous weight enumerator: w(x)=1x^0+3528x^674+8848x^675+392x^677+2184x^678+4928x^679+4662x^680+1680x^681+14000x^682+19880x^683+1736x^685+7504x^686+9856x^687+7301x^688+1960x^689+18480x^690+21392x^691+2520x^693+6664x^694+10304x^695+6734x^696+1792x^697+17584x^698+25256x^699+2520x^701+8736x^702+10752x^703+6769x^704+1736x^705+14504x^706+17808x^707+70x^712+49x^720+14x^728

The gray image is a linear code over GF(8) with n=792, k=6 and d=674.
This code was found by Heurico 1.16 in 95.4 seconds.