The generator matrix

 1  0  0  0  1  1  1  1  X  1  0  1 X^2  1  X  1  1
 0  1  0  0  0 X+1 X^2+1  X  1 X^2+X+1 X^2+X X^2+1  1 X^2+X+1  1 X+1  X
 0  0  1  0  1 X^2+1  1  1  X  0  1 X^2 X^2+1 X+1  1 X^2 X+1
 0  0  0  1  1 X^2+X+1  0 X^2  1 X^2 X^2+X+1  1  0  X  1  1  X
 0  0  0  0  X  X X^2+X X^2  X X^2+X X^2+X  0 X^2  0 X^2 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+257x^12+420x^13+1430x^14+1440x^15+3312x^16+2360x^17+3668x^18+1584x^19+1335x^20+324x^21+214x^22+16x^23+23x^24

The gray image is a linear code over GF(2) with n=68, k=14 and d=24.
This code was found by Heurico 1.13 in 0.562 seconds.