The generator matrix

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

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+314x^10+1093x^12+2522x^14+4199x^16+4318x^18+2624x^20+1006x^22+272x^24+32x^26+3x^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 1.10 in 1.25 seconds.