The generator matrix

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

generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+146x^60+176x^61+296x^62+240x^63+221x^64+176x^65+188x^66+154x^67+110x^68+68x^69+63x^70+54x^71+67x^72+8x^73+38x^74+14x^75+14x^76+4x^77+7x^78+2x^79+1x^80

The gray image is a linear code over GF(2) with n=260, k=11 and d=120.
This code was found by Heurico 1.16 in 0.279 seconds.