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

generates a code of length 99 over F8[X]/(X^2) 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 linear code over GF(8) with n=792, k=5 and d=680.
This code was found by Heurico 1.16 in 0.511 seconds.