The generator matrix

1 0 0 0 1 1 1 0 0 0 X 1 1 1 1 1 1 1 X 1 X 1 1 X 0 1 1 X X 0 1 X 1 0
0 1 0 0 0 0 0 0 X 1 1 1 1 1 X+1 X X+1 X 1 1 X 0 X+1 1 1 X+1 X 1 0 1 0 X X 0
0 0 1 0 0 1 1 1 0 X 1 0 1 X+1 X X+1 0 X X X+1 1 X 0 0 1 1 1 X 1 X 0 1 0 1
0 0 0 1 1 X X+1 1 1 1 0 X 1 0 1 0 X+1 X+1 X X X+1 X+1 1 X+1 0 1 0 X+1 0 X X 1 1 X
0 0 0 0 X 0 X X X X 0 0 X 0 X X 0 0 X X 0 0 0 X X X 0 0 X X X X 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+156x^30+73x^32+114x^34+38x^36+74x^38+14x^40+38x^42+2x^44+2x^46

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 1.10 in 75.1 seconds.