The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+182x^52+402x^54+744x^56+842x^58+962x^60+986x^62+1060x^64+946x^66+809x^68+584x^70+388x^72+184x^74+70x^76+20x^78+7x^80+4x^82+1x^84

The gray image is a linear code over GF(2) with n=126, k=13 and d=52.
This code was found by Heurico 1.16 in 9.63 seconds.