The generator matrix

1 0 0 0 0 1 1 1 1 1 0 X 0 X X 1 1 1
0 1 0 0 0 0 0 0 0 1 X X 1 1 1 X 1 0
0 0 1 0 0 1 0 1 X X+1 1 1 1 1 0 X X 0
0 0 0 1 0 1 0 X+1 1 X 1 0 0 X X+1 1 X+1 0
0 0 0 0 1 1 X+1 X 1 1 1 1 X 1 X 0 X 0
0 0 0 0 0 X X 0 0 0 0 X X 0 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+57x^12+94x^13+128x^14+172x^15+198x^16+238x^17+241x^18+248x^19+221x^20+202x^21+135x^22+60x^23+33x^24+10x^25+7x^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 1.10 in 0.032 seconds.