The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  X  0  X  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  X  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+77x^8+168x^12+28x^14+128x^15+203x^16+384x^17+112x^18+384x^19+56x^20+128x^21+232x^22+7x^24+112x^26+28x^30

The gray image is a linear code over GF(2) with n=36, k=11 and d=8.
This code was found by Heurico 1.16 in 0.0279 seconds.