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  X  0  0  X  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  0  X
 0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  X  X
 0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  0  0
 0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  0  0  X

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+102x^12+153x^16+512x^18+153x^20+102x^24+1x^36

The gray image is a linear code over GF(2) with n=36, k=10 and d=12.
This code was found by Heurico 1.16 in 0.0217 seconds.