The generator matrix

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

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+120x^12+84x^13+336x^14+532x^15+558x^16+840x^17+544x^18+488x^19+408x^20+100x^21+80x^22+4x^23+1x^32

The gray image is a linear code over GF(2) with n=68, k=12 and d=24.
This code was found by Heurico 1.16 in 0.116 seconds.