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

generates a code of length 66 over Z2[X]/(X^4) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+93x^64+136x^65+98x^66+112x^67+28x^68+8x^69+26x^70+4x^72+2x^74+2x^78+2x^80

The gray image is a linear code over GF(2) with n=528, k=9 and d=256.
This code was found by Heurico 1.16 in 0.265 seconds.