The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+44x^9+155x^10+332x^11+611x^12+1056x^13+1687x^14+2596x^15+3583x^16+4200x^17+4384x^18+4036x^19+3396x^20+2728x^21+1840x^22+1052x^23+584x^24+284x^25+125x^26+48x^27+17x^28+8x^29+1x^30

The gray image is a linear code over GF(2) with n=36, k=15 and d=9.
This code was found by Heurico 1.16 in 9.96 seconds.