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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+20x^49+20x^50+20x^52+40x^53+10x^54+10x^56+4x^57+2x^62+1x^64

The gray image is a linear code over GF(2) with n=104, k=7 and d=49.
This code was found by Heurico 1.16 in 0.715 seconds.