The generator matrix

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

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+82x^9+458x^10+988x^11+1837x^12+2992x^13+3537x^14+3120x^15+1997x^16+906x^17+324x^18+100x^19+37x^20+4x^21+1x^22

The gray image is a linear code over GF(2) with n=56, k=14 and d=18.
This code was found by Heurico 1.13 in 0.359 seconds.