The generator matrix

 1  0  1  1  1  0  1  1 X^2  1  1  X  1  1  1  X  1
 0  1  1  0 X+1  1  0 X^2+X+1  1 X+1  X  1 X^2+1 X^2+X X^2+1  X X^2
 0  0  X  0  0  X  X  0  X X^2+X X^2+X X^2 X^2+X X^2+X X^2  0  0
 0  0  0  X  0  X  X  X X^2  X  0 X^2+X  X  X X^2  X X^2+X
 0  0  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  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+224x^12+128x^13+640x^14+768x^15+1686x^16+1280x^17+1696x^18+768x^19+688x^20+128x^21+160x^22+24x^24+1x^32

The gray image is a linear code over GF(2) with n=68, k=13 and d=24.
This code was found by Heurico 1.16 in 14.8 seconds.