The generator matrix

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

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+212x^57+186x^58+424x^59+317x^60+534x^61+354x^62+452x^63+282x^64+326x^65+190x^66+320x^67+99x^68+180x^69+52x^70+70x^71+29x^72+26x^73+12x^74+12x^75+8x^76+2x^77+6x^78+2x^79

The gray image is a linear code over GF(2) with n=252, k=12 and d=114.
This code was found by Heurico 1.16 in 38 seconds.