The generator matrix

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

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+103x^18+122x^20+90x^22+102x^24+56x^26+30x^28+6x^30+1x^32+1x^34

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 1.16 in 1.93 seconds.