The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 1 1 1 1 1 X 1 0 1 X X X 1 0 X 0 0 1 1 0 0 1 X 1 X X 0 1 0 0 1 1 0 1 X X X 1 1 1 1 1 X 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X X 1 1 0 X+1 1 X+1 1 X 0 1 0 X 1 X+1 1 1 1 X 1 0 X 1 0 1 X 1 X X 1 1 1 X 1 1 X+1 X 1 1 1 0 1 0 X 1 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 1 1 0 X+1 1 1 X X 1 1 0 X 1 X+1 X+1 X 1 0 0 0 1 X X 1 0 1 0 X 1 X 0 1 0 0 1 1 X X X+1 0 X+1 X+1 X 1 X+1 X
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 1 X 0 1 X+1 X 1 0 X X X+1 1 X X+1 X 1 X+1 X+1 1 X 0 X X X+1 X+1 X X 1 0 X 1 0 X 0 X+1 1 1 1 X X X+1 1 1 X+1 1 X+1
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X X+1 X X+1 X+1 0 0 1 X X+1 1 X 0 X+1 X X+1 0 0 X+1 X+1 1 1 X X+1 1 X X 0 X+1 X+1 0 X+1 X+1 0 1 X+1 0 X X X+1 X+1 X X+1 X 0 X
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 X+1 0 X+1 1 X 0 0 X+1 1 X+1 X+1 0 0 X+1 X 0 X 1 1 X 0 0 X+1 0 X+1 0 1 1 1 X+1 X X+1 X+1 0 X X+1 X+1 X X 1 X 1 1 X 0 0
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 0 X X X 0 X X X X X 0 X X 0 X 0 0 X X 0 0 0 0 X 0 0 0 X 0 0 X X 0 X 0 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+77x^52+182x^53+217x^54+310x^55+354x^56+400x^57+455x^58+444x^59+463x^60+484x^61+493x^62+472x^63+541x^64+478x^65+451x^66+528x^67+408x^68+348x^69+318x^70+228x^71+168x^72+138x^73+96x^74+58x^75+32x^76+18x^77+16x^78+6x^79+3x^80+2x^82+2x^83+1x^88

The gray image is a linear code over GF(2) with n=126, k=13 and d=52.
This code was found by Heurico 1.10 in 2.97 seconds.