The generator matrix

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

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+191x^58+168x^59+500x^60+408x^61+467x^62+256x^63+432x^64+288x^65+369x^66+196x^67+314x^68+108x^69+163x^70+72x^71+74x^72+24x^73+20x^74+12x^75+22x^76+4x^77+2x^78+1x^80+4x^82

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 0.841 seconds.