The generator matrix

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

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+92x^59+153x^60+176x^61+188x^62+170x^63+186x^64+170x^65+197x^66+172x^67+153x^68+160x^69+108x^70+68x^71+16x^72+4x^73+15x^74+4x^75+1x^78+2x^79+2x^81+4x^83+2x^84+3x^86+1x^88

The gray image is a linear code over GF(2) with n=260, k=11 and d=118.
This code was found by Heurico 1.16 in 89.9 seconds.