The generator matrix

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

generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+138x^59+222x^60+530x^61+323x^62+568x^63+287x^64+386x^65+296x^66+344x^67+187x^68+272x^69+81x^70+208x^71+82x^72+66x^73+30x^74+30x^75+17x^76+10x^77+6x^78+8x^79+4x^80

The gray image is a linear code over GF(2) with n=260, k=12 and d=118.
This code was found by Heurico 1.11 in 0.344 seconds.