The generator matrix

 1  0  0  0  1  1  1  0  0 X^2  1  1  1  1 X^2+X X^2  1 X^2+X  1 X^2+X X^2  1  1  X  1  X  1  0  1  1 X^2  1  1  1 X^2+X  1  X  1  1  X  1  X  1 X^2  0  1 X^2 X^2+X X^2  1  1  X  0  1  1  1  1  1 X^2+X  1  1  X  1  1  1
 0  1  0  0  0 X^2 X^2 X^2  1  1 X+1  1  1 X^2+1  1  1  X X^2+X  1  0  1 X+1 X^2+X  1 X^2+X  1 X+1  X X^2 X+1  0  1  X  0  1 X^2+X X^2+X X+1 X^2  1  0  0 X^2+X  1  1 X^2+1  1  0  X X^2+X+1 X^2+X  1 X^2+X X^2+X+1 X^2+1 X^2+X  X  0  1 X^2+X X+1  1 X^2+X+1 X^2+X  X
 0  0  1  0 X^2  1 X^2+1  1 X+1  0  1 X^2+X X^2 X+1 X+1  X  0  1 X+1  1 X^2+1 X^2+X X^2+1 X^2 X^2+X+1  1 X^2+1 X^2 X^2+X  X  1  1 X^2+1  X X^2+X  0 X^2 X+1 X+1 X^2+1  0  1  X X^2 X^2+X+1  0 X^2+X  1  1  1 X^2+X+1  X  1  0 X^2+1 X+1 X^2+X+1 X+1 X^2+X X+1 X^2 X^2+X+1 X^2 X^2+X  0
 0  0  0  1 X^2+X+1 X^2+X+1  0 X+1 X^2  1  1  1 X^2  0 X^2+X+1 X^2 X^2  1 X^2+1 X^2 X^2+X+1 X^2+X+1  1 X^2+X+1 X^2+X  X  X  1 X^2+1 X^2+X X^2+1 X^2+X X^2+X+1 X+1 X^2 X+1  1 X^2+1 X^2 X^2  X X^2+X+1 X^2+1  X X^2+X+1 X^2+X  1  X X^2+X X^2 X^2 X^2+1 X^2+1 X^2+X X+1 X^2+X+1 X^2+1  1  X X^2+1  0  1  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+118x^59+304x^60+412x^61+442x^62+462x^63+389x^64+284x^65+333x^66+302x^67+247x^68+244x^69+152x^70+124x^71+108x^72+60x^73+45x^74+24x^75+23x^76+8x^77+4x^78+10x^79

The gray image is a linear code over GF(2) with n=260, k=12 and d=118.
This code was found by Heurico 1.16 in 0.684 seconds.