The generator matrix

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

generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+106x^59+193x^60+340x^61+235x^62+236x^63+168x^64+168x^65+118x^66+130x^67+71x^68+70x^69+70x^70+56x^71+23x^72+20x^73+15x^74+16x^75+10x^77+1x^78+1x^82

The gray image is a linear code over GF(2) with n=256, k=11 and d=118.
This code was found by Heurico 1.16 in 0.27 seconds.