The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+189x^12+356x^14+470x^16+490x^18+377x^20+144x^22+17x^24+2x^26+2x^28

The gray image is a linear code over GF(2) with n=34, k=11 and d=12.
As d=12 is an upper bound for linear (34,11,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 11.
This code was found by Heurico 1.10 in 0.031 seconds.