The generator matrix

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

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+174x^59+295x^60+366x^61+393x^62+374x^63+478x^64+426x^65+294x^66+256x^67+250x^68+172x^69+182x^70+152x^71+102x^72+84x^73+38x^74+34x^75+7x^76+6x^77+5x^78+2x^79+3x^80+2x^81

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 79.4 seconds.