The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+404x^56+584x^60+481x^64+336x^68+176x^72+56x^76+10x^80

The gray image is a linear code over GF(2) with n=126, k=11 and d=56.
This code was found by Heurico 1.16 in 14.7 seconds.