The generator matrix

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

generates a code of length 99 over F8[X]/(X^2) who´s minimum homogenous weight is 684.

Homogenous weight enumerator: w(x)=1x^0+1176x^684+343x^688+784x^692+98x^696+1624x^700+49x^720+14x^728+7x^736

The gray image is a linear code over GF(8) with n=792, k=4 and d=684.
This code was found by Heurico 1.16 in 0.182 seconds.