The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  1  1  1
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X+1  1 X^2+1 X^2+1 X^2+1 X+1 X^2+1
 0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2
 0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0
 0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2
 0  0  0  0  0  0 X^2 X^2  0  0 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+42x^12+32x^13+82x^14+384x^15+139x^16+704x^17+130x^18+384x^19+70x^20+32x^21+38x^22+4x^24+6x^26

The gray image is a linear code over GF(2) with n=68, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0267 seconds.