The generator matrix

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

generates a code of length 18 over Z2[X]/(X^3) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+53x^14+212x^15+258x^16+360x^17+299x^18+392x^19+211x^20+168x^21+63x^22+20x^23+9x^24+1x^26+1x^28

The gray image is a linear code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0312 seconds.