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

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+31x^62+192x^63+31x^64+1x^126

The gray image is a linear code over GF(2) with n=252, k=8 and d=124.
This code was found by Heurico 1.16 in 0.139 seconds.