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

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+9x^50+8x^51+21x^52+48x^53+21x^54+8x^55+9x^56+1x^68+1x^70+1x^74

The gray image is a linear code over GF(2) with n=106, k=7 and d=50.
This code was found by Heurico 1.16 in 0.0213 seconds.