The generator matrix

 1  0  0  1  1  1  0  1  X X^2  1  1  X  1  X X^2 X^2+X  1  1  1  1 X^2  1 X^2+X  0  1  1  1 X^2  1  1 X^2+X  1 X^2+X  1  1  1  1  1  1 X^2  X  1  1  1  1  1 X^2+X  1  1 X^2+X  0 X^2+X X^2+X  1  0  1 X^2  1  1  1  1  X  X X^2+X
 0  1  0  0  1  1  1  X  1 X^2+X  1 X^2+X  1 X^2+1 X^2  1  1 X^2+X X+1 X^2 X+1 X^2+X X^2+1  1  1 X^2  X  X  1 X^2 X^2+X+1  1 X^2+X  X X^2+1 X^2+X+1  0  0 X^2+X X^2+1 X^2  1 X+1 X^2+X+1  1 X^2+1 X^2+X+1  1  0  0 X^2  1 X^2+X  1 X^2+X+1  0 X^2  1  X X+1  X X+1  1  1  1
 0  0  1 X+1 X^2+X+1  0 X+1  1 X^2  1 X^2+1  0  1 X^2+X  1  X X+1 X^2+X+1 X^2 X^2+X X^2+X+1  1  0  X  1 X+1  X X^2+X  0  1  1 X^2+X+1 X+1  1 X^2+X X^2  X X^2  1 X^2+1  1 X^2+1 X^2+1 X^2+X X^2+X+1  1  X X^2  0 X^2+X+1  1  0  1  X X+1  1  X X^2+X+1  X X^2+X+1 X^2+1 X^2+X+1  0  1  1
 0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0
 0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 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+210x^59+187x^60+454x^61+329x^62+458x^63+373x^64+538x^65+241x^66+342x^67+160x^68+250x^69+131x^70+162x^71+58x^72+86x^73+27x^74+40x^75+21x^76+16x^77+8x^78+4x^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 3.14 seconds.