The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+151x^50+84x^51+453x^52+304x^53+625x^54+468x^55+930x^56+608x^57+950x^58+732x^59+863x^60+560x^61+560x^62+252x^63+356x^64+64x^65+109x^66+75x^68+31x^70+8x^72+6x^74+1x^76+1x^80

The gray image is a linear code over GF(2) with n=232, k=13 and d=100.
This code was found by Heurico 1.16 in 3.94 seconds.