The generator matrix

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

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+179x^52+444x^54+710x^56+918x^58+884x^60+942x^62+1084x^64+924x^66+839x^68+588x^70+374x^72+198x^74+80x^76+18x^78+7x^80+2x^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 9.15 seconds.