The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  X  0  X  0  X  0  X  0  X  X
 0  0  X  0  0  0  X  X  0  X  0  0  X  X  X  X  0
 0  0  0  X  0  0  X  0  0  X  X  X  X  0  0  X  0
 0  0  0  0  X  0  X  0  X  X  X  0  0  X  0  X  X
 0  0  0  0  0  X  X  0  X  0  0  X  0  X  X  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+16x^14+62x^16+32x^18+16x^22+1x^32

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 0.011 seconds.