The generator matrix

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

generates a code of length 34 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+146x^30+82x^32+130x^34+22x^36+74x^38+20x^40+30x^42+2x^44+4x^46+1x^48

The gray image is a linear code over GF(2) with n=68, k=9 and d=30.
As d=30 is an upper bound for linear (68,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.187 seconds.