The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+96x^12+186x^14+219x^16+255x^18+180x^20+69x^22+16x^24+1x^26+1x^30

The gray image is a linear code over GF(2) with n=34, k=10 and d=12.
As d=12 is an upper bound for linear (34,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 0.0189 seconds.