The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  1  1  1  X  1  0  1
 0  1  0  0  0  0  0  0  0 X+1  1  X X+1  1  X  0  1  0
 0  0  1  0  0  0  1  1  1  1  1  1 X+1  X  1 X+1  X  0
 0  0  0  1  0  1  1  0  1  0  1  X X+1  0  1  1  X  1
 0  0  0  0  1  1  0  1  1 X+1  1  0  0 X+1  X  1  0  1
 0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  0  X  X
 0  0  0  0  0  0  0  X  0  0  X  X  X  0  0  0  X  X
 0  0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  X  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+96x^10+142x^11+372x^12+488x^13+893x^14+1272x^15+1689x^16+2200x^17+2104x^18+2164x^19+1656x^20+1304x^21+922x^22+504x^23+366x^24+104x^25+80x^26+14x^27+12x^28+1x^30

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 4.54 seconds.