The generator matrix

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

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+140x^59+188x^60+288x^61+198x^62+304x^63+124x^64+242x^65+98x^66+148x^67+54x^68+48x^69+47x^70+52x^71+41x^72+42x^73+8x^74+8x^75+8x^76+4x^77+1x^78+4x^79

The gray image is a linear code over GF(2) with n=256, k=11 and d=118.
This code was found by Heurico 1.11 in 0.156 seconds.