The generator matrix

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

generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+97x^58+362x^59+318x^60+568x^61+256x^62+532x^63+281x^64+440x^65+221x^66+228x^67+197x^68+182x^69+86x^70+148x^71+60x^72+68x^73+12x^74+26x^75+7x^76+6x^77

The gray image is a linear code over GF(2) with n=256, k=12 and d=116.
This code was found by Heurico 1.16 in 0.659 seconds.