The generator matrix

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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+137x^46+200x^48+174x^50+138x^52+108x^54+102x^56+52x^58+54x^60+35x^62+17x^64+4x^66+2x^74

The gray image is a linear code over GF(2) with n=104, k=10 and d=46.
This code was found by Heurico 1.16 in 47.3 seconds.