The generator matrix

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

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+73x^48+34x^50+60x^52+28x^54+44x^56+2x^58+8x^60+3x^64+2x^72+1x^80

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 0.052 seconds.