The generator matrix

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

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+135x^60+206x^61+280x^62+218x^63+268x^64+166x^65+177x^66+128x^67+90x^68+80x^69+94x^70+62x^71+58x^72+26x^73+18x^74+8x^75+23x^76+2x^77+6x^78+1x^80+1x^82

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 0.282 seconds.