The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1 X^2  1 X^2+X X^2+X X^2  1  1 X^2  1 X^2  1  1  X  1  1  1 X^2+X  1  X  1  1  1 X^2+X X^2+X X^2 X^2  1  1  0  1 X^2  1  1  X  1  X X^2  1 X^2+X  1 X^2  1  1  1  1  1  1  1
 0  1  0 X^2 X^2+1  1  1  0  0 X^2 X^2+1  1  1  1 X^2+X  X  X X+1  1 X^2+X+1  1 X^2+X X^2+X  1 X+1  0 X+1  1 X^2+X+1  1  X  1 X^2+X+1 X^2  1  1  0 X^2+X  X  1  X X^2+X  0 X^2  1  1 X^2+X  1 X^2+X  1 X^2  1 X+1 X+1 X^2+1 X^2+1 X^2+1 X^2+1  0
 0  0  1 X^2+X+1 X+1 X^2 X^2+1  X  1  1 X^2+1  X X^2+X X+1  1  1  X X^2 X^2+X+1 X^2+X X^2+1  0 X+1  X X^2+X+1  1 X^2+1  0 X^2+X+1 X^2 X^2+1  1 X^2+1  1 X^2+X+1 X^2+X  1 X^2+X X+1 X^2+X+1  1  1 X^2 X^2+X X^2+X X^2+X+1  1 X^2 X^2 X^2+1 X+1  1  0 X^2+X  X  0 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+34x^56+224x^57+42x^58+32x^59+22x^60+80x^61+6x^62+5x^64+48x^65+14x^66+2x^68+2x^70

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 0.062 seconds.