The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  0  X  X  0  0
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  1  1  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  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  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  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+136x^10+995x^12+1760x^14+3499x^16+3376x^18+3499x^20+1760x^22+995x^24+136x^26+113x^28+1x^36

The gray image is a linear code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 1.26 seconds.