The generator matrix

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

generates a code of length 22 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+105x^18+110x^20+113x^22+86x^24+59x^26+26x^28+11x^30+1x^32

The gray image is a linear code over GF(2) with n=44, k=9 and d=18.
As d=18 is an upper bound for linear (44,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.10 in 0 seconds.