The generator matrix

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

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+100x^14+157x^16+184x^18+32x^20+36x^22+2x^24

The gray image is a linear code over GF(2) with n=68, k=9 and d=28.
This code was found by Heurico 1.16 in 1.52 seconds.