The generator matrix

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

generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+72x^61+126x^62+292x^63+143x^64+116x^65+14x^66+8x^67+14x^68+40x^69+50x^70+100x^71+32x^72+12x^73+2x^76+2x^82

The gray image is a linear code over GF(2) with n=260, k=10 and d=122.
This code was found by Heurico 1.11 in 0.125 seconds.