The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1  0  1  1 X^2  X  0
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X+1  1  0 X^2+X+1  1 X^2+X  X
 0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2
 0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 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+72x^14+48x^15+87x^16+96x^17+87x^18+48x^19+72x^20+1x^34

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 0.00498 seconds.