The generator matrix

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

generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+66x^61+110x^62+70x^63+104x^64+40x^65+48x^66+18x^67+12x^68+18x^69+9x^70+4x^71+1x^72+4x^73+1x^74+4x^77+1x^80+1x^84

The gray image is a linear code over GF(2) with n=256, k=9 and d=122.
This code was found by Heurico 1.11 in 0.063 seconds.