The generator matrix

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

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+21x^48+34x^49+34x^50+54x^51+35x^52+28x^53+22x^54+4x^55+4x^56+1x^60+3x^62+2x^65+4x^66+6x^67+2x^68+1x^70

The gray image is a linear code over GF(2) with n=104, k=8 and d=48.
This code was found by Heurico 1.16 in 0.024 seconds.