The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  X  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  0  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  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  X  0  0  0  X  X  0  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  X  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  X  0  X  0  X  0  0

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+85x^8+48x^10+380x^12+488x^14+1123x^16+808x^18+776x^20+184x^22+167x^24+8x^26+28x^28

The gray image is a linear code over GF(2) with n=34, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0966 seconds.