The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+158x^53+147x^54+280x^55+223x^56+298x^57+139x^58+182x^59+105x^60+182x^61+72x^62+88x^63+45x^64+54x^65+23x^66+24x^67+9x^68+12x^69+3x^70+1x^72+2x^75

The gray image is a linear code over GF(2) with n=232, k=11 and d=106.
This code was found by Heurico 1.16 in 0.223 seconds.