The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  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  0  X  0  X  X  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  X  X  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  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+105x^8+315x^12+603x^16+2048x^18+603x^20+315x^24+105x^28+1x^36

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 0.131 seconds.