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

generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+1x^68+10x^69+2x^70+2x^71

The gray image is a linear code over GF(2) with n=260, k=4 and d=136.
This code was found by Heurico 1.16 in 0.112 seconds.