The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1  1  1 X^2+X  1 X^2+X  1  1  X  1  1  0  1  0  1  1 X^2+X  1  1  1  0 X^2  1  1  1  1  1  1  1 X^2  1  1 X^2+X  0  1  1  0  1  1  1  1  1  1  X X^2+X  1 X^2+X  0
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1 X^2 X^2+X+1  1  0 X^2+X X^2+1  1 X^2+1  1 X^2+X X+1  1  0 X^2+X+1  1  X  1 X^2+1 X^2+X+1  1 X^2  1  1  1  1  X X^2+X X^2+1 X^2+1 X^2 X+1  0  1 X^2+X+1 X^2  1  1  1  0  1 X+1 X^2+X  X  0 X^2+1 X^2  1  1  1  1  1
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X  X X^2 X^2+X  X  X X^2 X^2+X X^2 X^2  X X^2+X  0  0  X  X X^2 X^2 X^2+X  0 X^2  X X^2+X  X  X  X  0  0 X^2+X  0 X^2 X^2+X X^2  0  0  X X^2+X  X X^2+X  X X^2+X  0 X^2  0  0 X^2  X X^2+X  0  0 X^2 X^2+X  0 X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0  0  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 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0
 0  0  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2
 0  0  0  0  0 X^2  0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0
 0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 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+120x^56+76x^57+368x^58+232x^59+403x^60+308x^61+438x^62+304x^63+441x^64+308x^65+320x^66+232x^67+327x^68+76x^69+72x^70+26x^72+8x^74+19x^76+10x^78+4x^80+3x^84

The gray image is a linear code over GF(2) with n=252, k=12 and d=112.
This code was found by Heurico 1.16 in 0.953 seconds.