The generator matrix

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

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+28x^14+138x^15+39x^16+136x^17+36x^18+84x^19+8x^20+24x^21+16x^22+2x^23

The gray image is a linear code over GF(2) with n=68, k=9 and d=28.
This code was found by Heurico 1.11 in 3.81e-009 seconds.