The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  1  1
 0  1  1  0  1  1  0  1  1  0  1  1  0  0  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  X  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  0  X  X  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  X  0  X  0  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  X  X  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  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+113x^8+56x^10+483x^12+544x^14+1963x^16+1872x^18+1963x^20+544x^22+483x^24+56x^26+113x^28+1x^36

The gray image is a linear code over GF(2) with n=36, k=13 and d=8.
This code was found by Heurico 1.16 in 0.367 seconds.