The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  0  1  X  0  1  1
 0  1  0  1  0 X+1  1  0  X  X  1  1 X+1  1  0  X  X
 0  0  1  1  1  0  1  X  1  1 X+1  1  X  0  1 X+1 X+1
 0  0  0  X  0  X  0  X  X  0  X  X  0  0  X  0  0
 0  0  0  0  X  0  0  0  X  0  X  X  X  X  0  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+32x^14+72x^15+49x^16+16x^18+48x^19+8x^20+16x^22+8x^23+6x^24

The gray image is a linear code over GF(2) with n=34, k=8 and d=14.
As d=14 is an upper bound for linear (34,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.00355 seconds.