The generator matrix

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

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+44x^13+101x^14+96x^15+107x^16+108x^17+135x^18+128x^19+52x^20+100x^21+83x^22+32x^23+32x^24+4x^25+1x^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 0.0277 seconds.