The generator matrix

 1  0  1  1  1 X^3+X^2+X  1  1  X  1  1 X^3+X^2  1  1 X^3  1  1 X^2+X  1  1 X^2  1  1 X^3+X  1  1  1  0  1 X^3+X^2 X^2+X  1 X^3+X  1  1  1  1  0  1 X^2+X  1 X^3+X^2  1 X^3+X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 X+1 X^3+X^2+X X^2+1  1  X X^2+X+1  1 X^3+X^2 X^3+1  1 X^3 X+1  1 X^2+X X^3+X^2+1  1 X^3+X X^3+X^2+X+1  1 X^2  1  1  0 X^3+X^2+X X+1  1  1  1  1  X  1 X^3+X+1  1 X^3+X^2+X X^3+X^2+X+1  1 X^3+X^2+1  1 X^3+X^2+X+1  1 X^3+X^2+1  1 X^3+X^2  0 X^3+X^2  X X^3 X^3 X^3 X^2+X X^2+X X^2+X  0 X^3+X X^3+X X^2 X^3+X X^2 X^2 X^3+X^2+X X^3+X^2  X  0
 0  0 X^2 X^3+X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 X^3  0 X^3 X^2  0 X^2  0 X^2  0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^2 X^3 X^3 X^2 X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^3+X^2  0  0  0  0  0 X^3+X^2 X^2  0 X^3 X^3+X^2  0 X^3+X^2 X^2 X^3 X^2  0 X^3+X^2 X^3 X^2  0 X^2  0 X^3+X^2 X^3  0

generates a code of length 65 over Z2[X]/(X^4) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+256x^63+63x^64+384x^65+62x^66+256x^67+2x^98

The gray image is a linear code over GF(2) with n=520, k=10 and d=252.
This code was found by Heurico 1.16 in 1.33 seconds.