The generator matrix

 1  0  0  0  0  1  1  1  1  1  0  0  X  X  0  1  1  1
 0  1  0  0  0  0  0  0  0  1  X  X  1  1  1  X X+1  0
 0  0  1  0  0  1  X  0  1 X+1  1  1  1 X+1  X  X  X  0
 0  0  0  1  0  1  0 X+1  1  X  1  0  0  X  1  1 X+1  0
 0  0  0  0  1  1 X+1  0  X  0  1 X+1  0  1  X X+1  1  0
 0  0  0  0  0  X  X  X  0  X  0  X  X  0  X  0  0  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+60x^12+88x^13+124x^14+184x^15+205x^16+224x^17+221x^18+272x^19+238x^20+184x^21+131x^22+56x^23+38x^24+16x^25+3x^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 0.0718 seconds.