The generator matrix

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

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+39x^12+32x^13+51x^14+128x^15+175x^16+192x^17+147x^18+128x^19+64x^20+32x^21+25x^22+8x^24+1x^26+1x^28

The gray image is a linear code over GF(2) with n=68, k=10 and d=24.
This code was found by Heurico 1.16 in 0.012 seconds.