The generator matrix

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

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+146x^57+264x^58+428x^59+376x^60+492x^61+358x^62+424x^63+258x^64+302x^65+228x^66+246x^67+155x^68+152x^69+118x^70+60x^71+25x^72+28x^73+8x^74+26x^75+1x^76

The gray image is a linear code over GF(2) with n=252, k=12 and d=114.
This code was found by Heurico 1.11 in 0.281 seconds.