The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+8x^17+3x^18+3x^20+1x^22

The gray image is a linear code over GF(2) with n=34, k=4 and d=17.
As d=17 is an upper bound for linear (34,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.000595 seconds.