The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+77x^56+56x^57+152x^58+32x^59+81x^60+32x^61+40x^62+25x^64+8x^65+2x^68+4x^72+1x^80+1x^84

The gray image is a linear code over GF(2) with n=236, k=9 and d=112.
This code was found by Heurico 1.16 in 0.117 seconds.