The generator matrix

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

generates a code of length 26 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+113x^22+116x^24+108x^26+68x^28+54x^30+35x^32+12x^34+4x^36+1x^38

The gray image is a linear code over GF(2) with n=52, k=9 and d=22.
As d=22 is an upper bound for linear (52,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.0747 seconds.