The generator matrix

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

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+135x^50+406x^51+650x^52+952x^53+1061x^54+1340x^55+1373x^56+1734x^57+1297x^58+1602x^59+1381x^60+1448x^61+1058x^62+748x^63+472x^64+348x^65+189x^66+92x^67+51x^68+26x^69+1x^70+4x^71+6x^72+2x^73+3x^74+2x^76+2x^77

The gray image is a linear code over GF(2) with n=232, k=14 and d=100.
This code was found by Heurico 1.13 in 3.39 seconds.