The generator matrix

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

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+127x^56+368x^57+591x^58+648x^59+817x^60+668x^61+736x^62+658x^63+743x^64+612x^65+620x^66+406x^67+428x^68+324x^69+188x^70+110x^71+63x^72+44x^73+25x^74+2x^75+9x^76+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 1.11 in 1.02 seconds.