The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+29x^14+37x^16+32x^18+24x^20+2x^22+2x^24+1x^30

The gray image is a linear code over GF(2) with n=34, k=7 and d=14.
This code was found by Heurico 1.16 in 0.0016 seconds.