The generator matrix

 1  0  0  0  1  1  1  1  0  1  1  X  1  0  0  0  1  1
 0  1  0  0  1  0  0  1  1  0  1  1  1  1  1  1  0  0
 0  0  1  0  1  0  1  0  1  1  1  0  0  1 X+1  0  0  0
 0  0  0  1  1  1  0  0  1  1  0  1 X+1  1  0  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  X  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  X  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  X  X  X  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+92x^8+232x^10+1716x^12+2720x^14+8506x^16+6320x^18+8296x^20+2848x^22+1764x^24+168x^26+100x^28+5x^32

The gray image is a linear code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.16 in 4.29 seconds.