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

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+120x^8+56x^10+668x^12+976x^14+2478x^16+1728x^18+1544x^20+304x^22+280x^24+8x^26+28x^28+1x^32

The gray image is a linear code over GF(2) with n=34, k=13 and d=8.
This code was found by Heurico 1.16 in 0.366 seconds.