The generator matrix

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

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+30x^57+66x^58+64x^59+38x^60+100x^61+156x^62+146x^63+145x^64+90x^65+66x^66+44x^67+5x^68+28x^69+32x^70+2x^71+2x^72+4x^73+4x^77+1x^116

The gray image is a linear code over GF(2) with n=252, k=10 and d=114.
This code was found by Heurico 1.16 in 0.22 seconds.