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

generates a code of length 66 over Z2[X]/(X^4) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+26x^65+70x^66+8x^67+7x^68+10x^69+4x^71+1x^74+1x^78

The gray image is a linear code over GF(2) with n=528, k=7 and d=260.
This code was found by Heurico 1.16 in 0.25 seconds.