The generator matrix

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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+36x^50+32x^51+8x^52+32x^53+8x^54+4x^56+3x^64+4x^66

The gray image is a linear code over GF(2) with n=104, k=7 and d=50.
This code was found by Heurico 1.16 in 108 seconds.