The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+84x^12+430x^16+424x^20+80x^24+4x^28+1x^32

The gray image is a linear code over GF(2) with n=36, k=10 and d=12.
This code was found by Heurico 1.16 in 0.0276 seconds.