The generator matrix

 1  0  0  1  1  1  X  0  1  1  1  X  0  1 X^2+X  1  1 X^2+X  1  1 X^2+X  0  1  1 X^2  1 X^2+X  1 X^2 X^2+X  1  X  1  0  0  1  1  1  1  0  1  1  1  X  1  1  X X^2  1  1  0  1  1  1  1  X  X  1  1  1  1  1  0
 0  1  0  0  1 X^2+X+1  1  1  X X+1  1 X^2+X  1  X X^2  1 X^2+X  1 X^2+X+1 X^2+1  1 X^2  0  X  1 X^2  1  X  1  1 X+1 X^2+X  0 X^2+X  1 X^2+1  0  0  X  X X^2+1 X+1  1  0  0 X+1  1  1  X  X X^2  1  1 X^2+X+1 X^2+X+1  1  1  X  0 X^2+X+1 X^2+1 X^2+X X^2
 0  0  1  1  1  0  1 X+1 X+1  X X^2+X+1  1  X X^2+X  1  X X^2 X^2+X+1  0  1 X^2  1 X^2+1  1  X  X  1  X  1  X X^2+X+1  1 X^2+X+1  1 X+1 X+1 X^2+1 X^2+X X^2  1 X^2+X X^2+X  0  1 X^2+1 X^2 X^2+X X^2+X+1 X^2  X  1 X^2+X+1 X^2+X+1 X^2+X X+1 X^2+X X^2+X+1 X+1 X^2 X^2+1 X^2+1 X^2+X  1
 0  0  0  X  0 X^2+X X^2  0  X X^2+X  0  0 X^2+X X^2  X X^2  X X^2+X X^2 X^2+X  0  X X^2 X^2  0 X^2 X^2+X  X X^2 X^2+X X^2+X  X X^2 X^2  X  0 X^2+X  X X^2 X^2+X  0  0  X  0  0 X^2+X  0  0 X^2+X  X X^2+X X^2+X X^2  0  X X^2 X^2  X X^2+X  X  X X^2 X^2
 0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0  0  0 X^2  0  0  0
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  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+267x^56+228x^57+628x^58+452x^59+937x^60+592x^61+806x^62+624x^63+875x^64+564x^65+734x^66+332x^67+532x^68+200x^69+166x^70+56x^71+111x^72+16x^73+30x^74+8x^75+25x^76+4x^78+2x^80+2x^84

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 8.18 seconds.