The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+76x^10+170x^11+341x^12+580x^13+822x^14+1254x^15+1704x^16+2154x^17+2246x^18+2026x^19+1748x^20+1218x^21+898x^22+626x^23+294x^24+142x^25+54x^26+20x^27+7x^28+2x^29+1x^32

The gray image is a linear code over GF(2) with n=36, k=14 and d=10.
This code was found by Heurico 1.16 in 9.82 seconds.