The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0
 0  1  1  0  1  1  0  1  1  0 X+1  1  0 X+1  1  0 X+1  1
 0  0  X  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  0  0  X
 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  X  0  0  0  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  X  0  0  X  0  X  X  X
 0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  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+126x^12+144x^14+513x^16+480x^18+513x^20+144x^22+126x^24+1x^36

The gray image is a linear code over GF(2) with n=36, k=11 and d=12.
This code was found by Heurico 1.16 in 75.4 seconds.