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

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+136x^95+80x^96+144x^97+16x^98+80x^99+24x^100+16x^101+8x^103+2x^104+3x^108+1x^112+1x^124

The gray image is a linear code over GF(2) with n=388, k=9 and d=190.
This code was found by Heurico 1.16 in 30.9 seconds.