The generator matrix

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

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+40x^12+52x^13+69x^14+64x^15+101x^16+156x^17+98x^18+96x^19+88x^20+108x^21+80x^22+32x^23+26x^24+4x^25+6x^26+3x^30

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 0.0182 seconds.