The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  X  X X^2 X^2  0  X
 0  X  0  0  0  X X^2+X  X  0 X^2  0  X X^2+X X^2  X  X  0
 0  0  X  0  X  X X^2+X  0  0  0 X^2+X  X X^2  X  0 X^2  X
 0  0  0  X  X  0 X^2+X  X X^2 X^2+X  0 X^2 X^2  X  X  0 X^2+X
 0  0  0  0 X^2  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2
 0  0  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 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+210x^12+48x^13+456x^14+256x^15+857x^16+416x^17+880x^18+256x^19+500x^20+48x^21+136x^22+30x^24+2x^28

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 0.668 seconds.