The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1 X^2+X  X  X  0  1  0  1  1  1  1  1  1  1  0 X^2  X  X  0 X^2  X  X  1 X^2  1  1  1  1  1  1 X^2  1 X^2+X  1 X^2+X  X  1  0 X^2+X  1  1  1  1  1 X^2+X X^2+X  1  X X^2+X  X  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  X  1 X^2+X X^2+X+1 X+1 X^2+X X^2+X+1 X^2 X^2+1  1  1  1  1  1  1  1  X X^2 X^2  X X^2+1 X+1 X^2 X+1 X^2+X+1  1 X^2 X^2  1  1  1 X^2+X  1  1  1 X^2 X^2+X+1  X X^2+1  1  1 X^2+X  1  1  0  0
 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  1 X^2+X+1  X X^2+X X^2+1 X^2  0  1 X^2+1  X X^2+X X^2  X  0  1 X^2+X+1  1 X^2  1 X+1 X^2+X+1  0 X+1 X^2+X+1 X+1 X^2 X^2+X+1  1 X^2+X  0 X^2+X X^2+X+1 X^2+X+1  1  0 X^2+X X^2+X X^2 X+1 X+1 X^2+X X^2+X  0 X^2 X^2+X  0
 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 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0  0 X^2 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+62x^60+208x^61+166x^62+166x^63+92x^64+78x^65+27x^66+22x^67+35x^68+58x^69+45x^70+36x^71+16x^72+1x^74+1x^76+8x^77+1x^78+1x^80

The gray image is a linear code over GF(2) with n=256, k=10 and d=120.
This code was found by Heurico 1.11 in 0.094 seconds.