The generator matrix

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

generates a code of length 18 over Z2[X]/(X^3) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+86x^15+219x^16+138x^17+182x^18+160x^19+126x^20+44x^21+42x^22+18x^23+6x^24+2x^25

The gray image is a linear code over GF(2) with n=72, k=10 and d=30.
This code was found by Heurico 1.11 in 0.125 seconds.