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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+122x^96+112x^97+80x^98+64x^99+108x^100+16x^101+4x^108+4x^112+1x^128

The gray image is a linear code over GF(2) with n=392, k=9 and d=192.
This code was found by Heurico 1.11 in 0.297 seconds.