The generator matrix

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

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+19x^14+44x^15+70x^16+94x^17+86x^18+76x^19+54x^20+32x^21+19x^22+8x^23+3x^24+2x^25+4x^26

The gray image is a linear code over GF(2) with n=72, k=9 and d=28.
This code was found by Heurico 1.16 in 0.00507 seconds.