The generator matrix

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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+213x^48+156x^52+82x^56+40x^60+16x^64+4x^68

The gray image is a linear code over GF(2) with n=104, k=9 and d=48.
As d=48 is an upper bound for linear (104,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.10 in 0.687 seconds.