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

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+109x^58+16x^59+99x^60+128x^61+81x^62+224x^63+60x^64+128x^65+71x^66+16x^67+24x^68+43x^70+7x^72+16x^74+1x^116

The gray image is a linear code over GF(2) with n=252, k=10 and d=116.
This code was found by Heurico 1.16 in 48.8 seconds.