The generator matrix

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

generates a code of length 14 over Z2[X]/(X^3) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+38x^9+100x^10+192x^11+482x^12+782x^13+877x^14+818x^15+500x^16+186x^17+78x^18+28x^19+8x^20+2x^21+1x^22+2x^23+1x^24

The gray image is a linear code over GF(2) with n=56, k=12 and d=18.
This code was found by Heurico 1.16 in 0.0742 seconds.