The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+46x^13+108x^14+96x^15+73x^16+110x^17+172x^18+128x^19+40x^20+90x^21+100x^22+32x^23+14x^24+10x^25+4x^26

The gray image is a linear code over GF(2) with n=36, k=10 and d=13.
This code was found by Heurico 1.16 in 0.737 seconds.