The generator matrix

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

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+54x^13+96x^14+114x^15+173x^16+188x^17+160x^18+100x^19+48x^20+46x^21+32x^22+10x^23+2x^24

The gray image is a linear code over GF(2) with n=68, k=10 and d=26.
This code was found by Heurico 1.16 in 0.0141 seconds.