The generator matrix

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

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+244x^48+148x^50+106x^52+108x^54+90x^56+98x^58+56x^60+22x^62+13x^64+6x^66+2x^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 1.10 in 0.093 seconds.