The generator matrix

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

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+56x^46+187x^48+194x^50+125x^52+139x^54+104x^56+78x^58+70x^60+36x^62+18x^64+8x^66+5x^68+1x^70+2x^72

The gray image is a linear code over GF(2) with n=106, k=10 and d=46.
This code was found by Heurico 1.16 in 0.132 seconds.