The generator matrix

 1  0  0  0  1  1  1  1  0  1  X  X  1  1  0  X  X  1
 0  1  0  0  1  0  0 X+1  1  1  1  X  0 X+1  1  0  X  1
 0  0  1  0  1  0  1  0  1 X+1  0  X  1  X  0  1  1  1
 0  0  0  1  1  1  0  0 X+1  X X+1  1  1 X+1 X+1  1  0  0
 0  0  0  0  X  0  0  X  0  X  X  0  X  0  X  X  X  0
 0  0  0  0  0  X  0  X  X  X  0  0  X  0  X  0  0  0
 0  0  0  0  0  0  X  X  X  0  0  X  0  0  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+56x^12+92x^13+137x^14+164x^15+191x^16+264x^17+228x^18+232x^19+230x^20+204x^21+142x^22+52x^23+32x^24+16x^25+4x^26+2x^28+1x^30

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 0.0694 seconds.