The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  1  X  1  1  X  1
 0  1  0  0  1 X+1  1  X X+1  1  0 X+1  1  X  X  0  0
 0  0  1  1 X+1  0 X+1  1 X+1  X  X  X  1  X  X  1  0
 0  0  0  X  X  X  0  0  0  X  X  0  X  X  0  0  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+18x^14+28x^15+19x^16+16x^17+8x^18+16x^19+8x^20+6x^22+4x^23+4x^24

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 0.00343 seconds.