The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  X  0  0  X  X  0  0  X  X  X  X  0
 0  0  X  0  0  X  0  X  X  0  X  X  X  X  0  0  0
 0  0  0  X  0  X  X  X  0  0  X  0  0  X  X  X  0
 0  0  0  0  X  X  X  0  0  X  X  X  X  0  0  X  0

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+15x^16+32x^17+15x^18+1x^34

The gray image is a linear code over GF(2) with n=34, k=6 and d=16.
As d=16 is an upper bound for linear (34,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.00103 seconds.