The generator matrix

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

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+130x^46+199x^48+190x^50+143x^52+96x^54+97x^56+64x^58+49x^60+22x^62+19x^64+10x^66+4x^68

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 0.12 seconds.