The generator matrix

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

generates a code of length 18 over Z2[X]/(X^3) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+5x^16+28x^17+6x^18+12x^19+2x^20+4x^21+2x^22+4x^23

The gray image is a linear code over GF(2) with n=72, k=6 and d=32.
This code was found by Heurico 1.16 in 0.00155 seconds.