The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  1  X  X  X  1  X  1
 0  1  0  0  0  1  1  1  X X+1  X  X  1  1  1 X+1  X X+1
 0  0  1  0  1  1  X X+1  0  0  X X+1 X+1  0  1  X  X X+1
 0  0  0  1  1  X X+1  1  1  0  1 X+1  X  1 X+1 X+1  1 X+1
 0  0  0  0  X  0  X  0  0  X  X  0  X  X  0  0  0  X

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+81x^14+133x^16+112x^18+96x^20+62x^22+26x^24+1x^30

The gray image is a linear code over GF(2) with n=36, k=9 and d=14.
As d=14 is an upper bound for linear (36,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.00771 seconds.