The generator matrix

 1  0  1  1  1 X^2+X  1  1  0 X^2+X  1  1  1 X^2  1  1  X  1  1  1 X^2  1  1  1  1 X^2+X  X  1  1  0  X  1  1  1  1 X^2+X  1  1  1  0  1  1  1  1 X^2+X  1 X^2+X  X  1  1  1  1  X  X  0  X  1  1
 0  1  1  0  1  1  X X^2+X+1  1  1 X^2+X+1 X^2+X  1  1  0  X  1 X^2+1 X^2 X+1  1 X^2+X X+1  1  1  1  1  1  0  1  1  X X^2+X+1 X^2+X+1  0  1  X X^2+X+1  X  1  0 X^2+1 X^2 X^2  1  1  1 X^2 X+1 X^2+X X^2+X+1  X  X X^2  1 X^2+X X^2+1 X+1
 0  0  X  0  0  0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2+X  X X^2+X  X X^2+X  X  X  X  X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  0  0 X^2+X  X X^2+X X^2+X  X  0 X^2+X X^2+X X^2 X^2  X  0 X^2  X X^2+X  0 X^2  X
 0  0  0  X  0  0  X X^2  X X^2+X  X X^2 X^2+X  X  X X^2  0  X  0  0 X^2+X  X  X  X X^2+X  0 X^2+X  0 X^2+X X^2+X  X X^2  0 X^2  0  0 X^2  0  X  X  X  X X^2 X^2  0  X  X X^2+X X^2+X X^2 X^2  0  X X^2  0  X X^2  0
 0  0  0  0  X  0  0  X  X X^2+X X^2 X^2 X^2 X^2 X^2+X X^2+X  X X^2+X  X X^2  0 X^2+X  0  0  X  X  0 X^2+X  0 X^2+X  0 X^2 X^2  X X^2+X X^2 X^2+X  0  X  0 X^2 X^2 X^2+X X^2  0 X^2 X^2  X X^2+X  X  X  X X^2+X X^2+X  X X^2  0  X
 0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  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+132x^50+88x^51+453x^52+300x^53+770x^54+456x^55+807x^56+728x^57+927x^58+580x^59+879x^60+572x^61+543x^62+272x^63+349x^64+64x^65+123x^66+12x^67+85x^68+31x^70+15x^72+2x^74+3x^76

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 3.79 seconds.