The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  1 X^2 X^2+X X^2+X  0  1  1  X  0  1  1  1  0  1 X^2  1  1 X^2+X  X  1  X  1  1  1  X  1 X^2+X  1  1 X^2  1  1  0 X^2  1  1  1 X^2+X  1  1 X^2  X X^2  1  1  0  X  1 X^2 X^2+X  1  0  1 X^2+X  1  0  1 X^2+X  X  1  1  1  1  0  1 X^2  1 X^2+X  1  X  1 X^2  1  1  1  X  1 X^2  X  1  0  X  X  X  X  0 X^2  X
 0  1  0  1 X^2 X^2+1  1  1 X^2+X X^2+1  0 X^2  1  1  0  X  X X+1  1  1 X^2+X+1  X  X  1  X  1 X^2+X+1 X+1  1  0 X^2  1  1 X^2+X X^2+1  1  0  1 X^2+X+1 X^2+X  0  1 X+1  1  1 X+1  0 X^2+X  1 X^2+1 X^2+X+1  1 X^2+X  X X^2+X X^2+X X^2+X  X X^2+X X^2+X  X  1  1 X^2+X+1  1  1  1 X^2+X+1  1 X^2  X  X X^2 X^2 X^2 X^2 X^2 X^2 X^2 X+1  1 X^2+1  1  0  0 X+1  1 X^2+1  1  0  1 X^2  0  X  X  0  X  X X^2
 0  0  1 X^2  1 X^2+1 X^2+1 X^2+X  1 X+1  X X^2+X+1  X X+1  1  1  0 X^2  0  1  1  1 X+1 X^2+X+1  X  0 X^2+X X+1 X^2+1  1 X^2+1  X X^2+X+1 X^2+1  X X^2+X+1 X^2 X^2  0 X+1  1 X^2+1 X^2+X X^2+X X^2+1  1 X^2+X  X  X X^2 X^2+X+1 X^2+X+1  1  1 X^2+X  0  1  1 X^2  1  1  0 X+1  X  1 X+1 X^2 X+1 X^2+X  1 X^2 X^2+X  0  X  1 X^2  1 X^2+X  1  X  1  0 X+1  1 X^2+1 X^2+X+1 X^2+X X^2+X+1 X^2  0  1  X  X  0 X^2+X X^2  0  X X^2

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+78x^97+231x^98+84x^99+8x^100+12x^101+72x^102+12x^103+7x^112+6x^113+1x^114

The gray image is a linear code over GF(2) with n=396, k=9 and d=194.
This code was found by Heurico 1.11 in 0.468 seconds.