The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+46x^13+72x^14+66x^15+69x^16+44x^17+56x^18+52x^19+24x^20+38x^21+32x^22+10x^23+2x^24

The gray image is a linear code over GF(2) with n=34, k=9 and d=13.
As d=13 is an upper bound for linear (34,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.10 in 0 seconds.