The generator matrix

 1  0  1  1  1 X^2  X  1  1  1 X^2+X  1  1  1 X^2  1  1 X^2  1  1 X^2+X  1  1 X^2+X  1  1  1  0  1 X^2+X  1  1 X^2  1  X  1  1  1  1  1  1  X  1  1  0  1  0  0  X  X  1  1  X  1  1  1  1  1  1  1  X  1  1  1
 0  1  1 X^2+X X^2+X+1  1  1 X+1  X X^2+1  1  X  X X+1  1 X^2 X+1  1  0  1  1  0  1  1  0 X^2+X X+1  1  0  1 X+1 X^2+X+1  1 X^2+X  1 X+1 X^2  X X^2+X X^2  0 X^2+X  X X^2+1  1  1  1  0  1  1 X^2+1 X^2+1  X X^2+X+1 X^2+X+1 X^2 X^2 X^2  X X^2  0 X^2 X+1 X^2+1
 0  0  X  0 X^2+X  X  X X^2  X X^2  0 X^2+X  0 X^2 X^2+X  X  X  0  0 X^2+X  0 X^2+X X^2 X^2+X  0 X^2  0 X^2 X^2 X^2  0  X X^2+X X^2+X  X X^2+X X^2+X  X  0 X^2+X X^2+X X^2  X X^2  0  X X^2+X  X  X  0 X^2+X X^2 X^2 X^2  X  0 X^2  0  X  0 X^2  X  0 X^2
 0  0  0 X^2  0 X^2 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  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2
 0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 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+192x^60+80x^61+140x^62+64x^63+190x^64+64x^65+84x^66+110x^68+48x^69+20x^70+13x^72+2x^76+8x^78+3x^80+4x^82+1x^88

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 0.203 seconds.