The generator matrix

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

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+32x^10+82x^11+183x^12+270x^13+450x^14+626x^15+839x^16+1062x^17+1062x^18+1070x^19+876x^20+650x^21+466x^22+262x^23+144x^24+66x^25+34x^26+8x^27+5x^28+4x^30

The gray image is a linear code over GF(2) with n=36, k=13 and d=10.
This code was found by Heurico 1.16 in 0.746 seconds.