The generator matrix

 1  0  1  1  1 X^2  1  1 X^2  1  1 X^2 X^2 X^2+X  1  1 X^2+X
 0  1  1  0  1  1 X+1 X^2  1 X^2+X X^2+1  1  1  1  0  0  1
 0  0  X  0  0  0  0  X  X X^2+X X^2+X  X X^2  0 X^2 X^2  0
 0  0  0  X  0  X  X  X X^2+X X^2 X^2+X X^2+X X^2  X X^2+X X^2+X  0
 0  0  0  0  X X^2  X X^2+X X^2+X  X X^2  X X^2  X  X  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+58x^12+126x^13+282x^14+350x^15+941x^16+588x^17+943x^18+348x^19+274x^20+118x^21+53x^22+6x^23+6x^24+1x^26+1x^30

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 0.12 seconds.