The generator matrix

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

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+261x^56+272x^57+586x^58+532x^59+764x^60+684x^61+772x^62+744x^63+798x^64+580x^65+642x^66+436x^67+403x^68+260x^69+242x^70+48x^71+88x^72+28x^73+22x^74+17x^76+6x^78+4x^80+2x^82

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 4.2 seconds.