The generator matrix

 1  0  1  1  1 X^2  1  1  0  0  1  1  1  0  1  1  1  0  1  1  0  1  1 X^2  1  1  0  1  1  X  1 X^2+X  1  1  1  1  X X^2  1  X  1  1  1  1  1 X^2+X  1  1  1  1 X^2+X X^2+X  1  1  1  0 X^2  1  1  1  0  1 X^2
 0  1  1  0  1  1 X^2 X+1  1  1 X^2 X^2+X+1 X^2  1 X^2+1 X+1 X^2  1 X+1  X  1  0  1  1 X^2+X X^2+X+1  1 X^2+1  0  1 X+1  1 X+1 X+1 X+1  X  1  1  0  1 X^2+X+1 X^2+X  X  1  0  1 X^2+1  X X^2+1  0  1  1 X^2+1  0  1  1  0  1 X^2+X+1  X  1 X^2  1
 0  0  X  0  0  0  0 X^2 X^2+X  X X^2+X X^2+X X^2+X X^2  0  X X^2+X  X  0  X  0 X^2 X^2+X  X X^2+X  X  X X^2 X^2+X  0 X^2 X^2 X^2 X^2+X X^2 X^2  X X^2+X  0  0  X X^2+X X^2+X X^2  0 X^2+X  X X^2 X^2  X X^2+X X^2+X X^2+X X^2+X  X  0 X^2  X  X X^2 X^2  X X^2+X
 0  0  0  X  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2+X  X  X  X X^2+X X^2+X  X  X X^2+X X^2+X X^2+X X^2 X^2  X  X  X  0 X^2  0  X  X X^2  0  0 X^2+X  X X^2  X X^2+X  0 X^2+X X^2 X^2 X^2  X  0 X^2+X  0 X^2+X X^2  0 X^2+X  0  X  0 X^2+X  0 X^2 X^2 X^2
 0  0  0  0  X X^2+X X^2+X X^2  X  0  0 X^2+X  X  X  X  X X^2  0  0 X^2+X X^2 X^2+X X^2 X^2 X^2  0 X^2+X  0 X^2+X X^2+X  0 X^2  X  X  X  0 X^2+X  X  X X^2+X X^2  0  0  0  X X^2+X X^2  0 X^2 X^2  0  X X^2  X X^2+X X^2  0 X^2+X  X X^2+X  0 X^2+X 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+87x^56+156x^57+294x^58+248x^59+379x^60+416x^61+366x^62+400x^63+301x^64+428x^65+248x^66+264x^67+193x^68+120x^69+86x^70+16x^71+42x^72+22x^74+18x^76+8x^78+1x^80+2x^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 0.92 seconds.