The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1  0  0  1  1 X^2+X  1  1  1  1  X  X  1 X^2+X  1 X^2+X  1  1  0  1  1  X  1  1  1  1 X^2  1  1  1 X^2  1  X X^2+X  1  1  1  1  1 X^2  1  1  1  0  1 X^2  1  1  1  0
 0  1  1  0 X^2+X+1  1 X+1 X^2+X  1 X^2  1 X^2+1  X X+1  1  1  0 X^2+1  1  X X+1  X  1  1  1 X^2+X  1 X^2+X+1  1 X^2+X X^2+X+1  1 X+1  0  1 X^2+1  1 X^2+X+1 X^2+X+1  1 X^2  1 X^2+X+1  1  X  1  1  X  X X^2 X^2+1  X  1 X^2+X+1  X X^2+X+1  1  0  1 X+1  1 X+1  1
 0  0  X  0 X^2+X  0 X^2 X^2  X X^2+X X^2+X X^2  X  X  X  0  X X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2  X X^2 X^2 X^2  X  0  X  0  0  0 X^2+X X^2+X  0 X^2  X X^2  0 X^2+X X^2+X  X  0  X  0 X^2+X  X  X  0  0 X^2  X X^2 X^2  0 X^2+X X^2+X  0 X^2+X  0  X
 0  0  0  X  0  0  0 X^2 X^2 X^2 X^2  0  0  X  X  X X^2+X  X  X X^2+X  X X^2+X X^2+X X^2+X  X  0 X^2 X^2+X  0 X^2+X X^2 X^2  0 X^2+X  X X^2+X X^2 X^2+X X^2+X X^2+X  X  0 X^2  X X^2  0  0  X X^2 X^2  X X^2  0  X X^2  X  0  X X^2 X^2+X  0 X^2  X
 0  0  0  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 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 X^2 X^2  0 X^2  0  0 X^2  0  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+116x^56+84x^57+346x^58+264x^59+445x^60+300x^61+444x^62+240x^63+430x^64+300x^65+347x^66+264x^67+261x^68+84x^69+75x^70+39x^72+25x^74+17x^76+9x^78+1x^80+2x^82+1x^84+1x^88

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 0.935 seconds.