The generator matrix

 1  0  0  1  1  1  0  1  1  1  X  1  1 X^2  0  X X^2+X  X  1  1  1 X^2  1  1  0  X  1  1  X  1  1  1  1 X^2+X  0 X^2  1  1  1  0 X^2+X  0  0  1  X  1  1  1 X^2+X  1  0  1 X^2+X  1  1 X^2  1  1  1  X  0  1  1
 0  1  0  0  1  1  1 X^2  X X^2+X+1  1 X+1 X^2  1 X^2+X  1  1 X^2+X X+1  1  0  1 X^2+1 X^2+1  1 X^2 X^2+X X^2+X  1 X+1 X^2+X+1  X X^2 X^2  1  1 X^2+X+1 X^2+X X^2  1  1  1  1  1  1  X X^2+X X^2+X+1  1 X^2+1  1 X^2+X X^2 X+1 X^2+X+1  1  X X^2+1 X^2+X  1  0 X+1  0
 0  0  1 X+1 X^2+X+1  0 X+1  X  1  X  X X^2+X+1 X^2+1  1  1 X^2 X+1  1  0  1 X^2+X  1  X X^2+X+1 X^2+X  1  0 X+1 X^2+1 X^2+X+1 X^2+X  X X^2+1  1  X X^2  0 X^2+X+1 X^2 X+1 X^2 X+1 X^2  1  X  0 X^2+X+1 X^2+1 X^2+1 X^2 X^2  1  1 X+1 X^2+1 X^2  1 X^2+1  0 X^2+X+1  1 X^2+X+1  0
 0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0  0  0  0  0  0 X^2  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2
 0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0  0  0
 0  0  0  0  0  0 X^2  0  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+335x^56+998x^58+1451x^60+1468x^62+1475x^64+1130x^66+808x^68+326x^70+129x^72+40x^74+21x^76+6x^78+4x^80

The gray image is a linear code over GF(2) with n=252, k=13 and d=112.
This code was found by Heurico 1.16 in 34.5 seconds.