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

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+112x^97+26x^98+48x^99+26x^100+8x^101+2x^102+2x^104+16x^105+2x^106+2x^108+2x^110+8x^113+1x^128

The gray image is a linear code over GF(2) with n=396, k=8 and d=194.
This code was found by Heurico 1.16 in 6.11 seconds.