The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  X X^2+X  1 X^2  1  X X^2+X  1 X^2+X X^2 X^2  0 X^2+X  1  1  1  1  1  0 X^2+X X^2  1  X X^2  1  0  1  1  1  1  1 X^2+X  1  1  0  1  1 X^2+X X^2+X X^2  1  0  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  X X^2 X^2+X  1 X+1 X^2+1  1  X  1 X^2+X+1  1 X^2+X+1  1  1  1  0  0  1 X^2  1 X^2  X  0 X^2+X X^2+1  1 X^2  X X^2+1  1  0  X  X X^2 X^2 X^2+X X^2+1 X+1  1  0 X^2+X  1 X+1  X  0  1  X X^2+X+1  1 X^2+X+1  X  X X+1 X^2 X^2 X^2+X X^2+1 X^2+X+1 X^2+X
 0  0  1  0  X X^2+1  1 X^2+1  0 X^2+1 X^2  1 X^2+1  1 X^2+X  1  0  0  X  1  1 X^2+1 X^2+X  1 X^2 X^2 X^2+X+1  1 X+1 X^2+X  1 X^2+X  0  1  1 X^2+X+1  0 X^2+X X^2+1  X  X X+1 X^2 X^2+X X+1 X^2+X+1  1 X^2+X  1 X^2+X  1 X^2+X X^2+X X^2+X+1 X^2  X X^2+X+1 X^2+1 X^2+X X^2+X+1 X^2+X+1 X^2+1  X
 0  0  0  1 X+1  1  X X^2+1 X^2+X X^2+X+1 X^2+X+1 X+1 X^2+X X^2 X+1 X^2+1 X+1  0  X  X X^2+X+1 X^2+X+1  1  0 X^2+1  0 X^2+X+1 X^2  X  1 X^2+X+1  1 X+1 X^2+1 X^2+X X^2+X+1  1  0 X^2+X+1  1  1  1 X^2+1  1  0  X X^2+1 X^2+X X^2+X+1  0 X^2  1 X^2+X X^2+X+1  1 X^2 X^2+1 X^2+X X^2+X  X  1  X X^2+X
 0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2  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+177x^56+342x^57+593x^58+566x^59+791x^60+626x^61+895x^62+670x^63+782x^64+552x^65+596x^66+432x^67+423x^68+266x^69+208x^70+86x^71+92x^72+38x^73+43x^74+6x^75+6x^76+1x^78

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 2.73 seconds.