The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+85x^8+48x^10+288x^12+64x^13+188x^14+320x^15+331x^16+640x^17+208x^18+640x^19+184x^20+320x^21+392x^22+64x^23+127x^24+160x^26+8x^28+28x^30

The gray image is a linear code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0967 seconds.