The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+20x^56+68x^57+88x^58+56x^59+10x^60+4x^61+6x^62+1x^64+2x^82

The gray image is a linear code over GF(2) with n=232, k=8 and d=112.
This code was found by Heurico 1.16 in 0.0761 seconds.