The generator matrix

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

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+140x^57+280x^58+390x^59+423x^60+460x^61+396x^62+392x^63+272x^64+302x^65+213x^66+262x^67+145x^68+144x^69+126x^70+48x^71+47x^72+22x^73+17x^74+12x^75+4x^77

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 0.655 seconds.