The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+82x^49+390x^50+776x^51+1464x^52+1540x^53+2098x^54+2318x^55+3084x^56+3010x^57+3297x^58+2982x^59+3252x^60+2346x^61+2155x^62+1482x^63+1115x^64+586x^65+433x^66+180x^67+102x^68+46x^69+11x^70+4x^71+4x^72+6x^73+2x^75+2x^76

The gray image is a linear code over GF(2) with n=232, k=15 and d=98.
This code was found by Heurico 1.13 in 11.6 seconds.