The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+26x^6+105x^8+298x^10+704x^12+2296x^14+4771x^16+4756x^18+2280x^20+714x^22+307x^24+98x^26+24x^28+4x^30

The gray image is a linear code over GF(2) with n=34, k=14 and d=6.
This code was found by Heurico 1.16 in 0.921 seconds.