The generator matrix

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

generates a code of length 28 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+137x^24+76x^26+132x^28+40x^30+85x^32+12x^34+28x^36+1x^40

The gray image is a linear code over GF(2) with n=56, k=9 and d=24.
As d=24 is an upper bound for linear (56,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.0906 seconds.