The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+335x^10+1044x^12+2512x^14+4305x^16+4246x^18+2592x^20+1064x^22+246x^24+35x^26+4x^28

The gray image is a linear code over GF(2) with n=34, k=14 and d=10.
As d=10 is an upper bound for linear (34,14,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 14.
This code was found by Heurico 1.16 in 53.3 seconds.