The generator matrix

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

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+21x^96+148x^97+19x^98+8x^100+40x^101+8x^102+4x^105+4x^106+2x^112+1x^130

The gray image is a linear code over GF(2) with n=392, k=8 and d=192.
This code was found by Heurico 1.16 in 0.563 seconds.