The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X
 0  X  0  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  X  X  0  X
 0  0  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  0  0  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  0  X
 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  0  X  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  X
 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  X  X  0  X  X

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+126x^8+532x^12+2404x^16+2048x^18+2392x^20+602x^24+84x^28+3x^32

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 0.895 seconds.