The generator matrix

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

generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+81x^60+192x^61+164x^62+148x^63+114x^64+52x^65+52x^66+32x^67+35x^68+40x^69+48x^70+28x^71+4x^72+20x^73+8x^74+3x^76+1x^80+1x^84

The gray image is a linear code over GF(2) with n=256, k=10 and d=120.
This code was found by Heurico 1.16 in 0.15 seconds.