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

generates a code of length 99 over Z2[X]/(X^3) who�s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+118x^96+120x^98+220x^100+8x^102+40x^104+4x^108+1x^192

The gray image is a linear code over GF(2) with n=396, k=9 and d=192.
This code was found by Heurico 1.16 in 0.76 seconds.