The generator matrix

 1  0  0  0  1  1  1  1  1  1  1 X^2  0  0  0  0  1 X^2  1  1  1  1 X^2+X  X  1 X^2  1  1  0  1  0 X^2+X  1  1  1  1  1  1  X X^2+X  1  0  1  1 X^2 X^2+X  1 X^2+X  X  0  1 X^2 X^2+X X^2+X  1  1  1  1
 0  1  0  0  0  0  1 X^2+X+1  1  1 X^2+X  1  1 X^2  1 X^2+X  X  1 X+1 X^2+1  X X+1  1  1 X^2+1  X X^2  X X^2 X^2  X  1  X X^2+X+1 X+1 X^2+X+1 X+1  1  1  1 X^2  1  X X^2+X+1  1  1  1 X^2  1 X^2  1  X  1 X^2+X  1  0 X^2  0
 0  0  1  0  0  1  0  1 X^2+1 X^2  1 X^2+X+1 X+1  1  0  0 X^2 X^2+X+1 X^2+X X^2+X X+1 X^2+X+1 X^2+X  0 X^2+1  1 X^2+X X+1  1  0  1 X^2+X+1 X^2+X+1 X^2+X  X X^2+1 X^2+X X^2+X X^2+1  X  0 X^2 X+1  0 X^2+X+1 X^2+X X+1  0 X^2+1  1 X^2+1 X^2+X  1  1 X^2+X+1 X^2+X+1  X X^2
 0  0  0  1  1 X+1 X^2+X+1 X^2+1 X^2  X X^2+X X^2+1  0 X+1  1  1  X X^2+X X+1 X^2  1 X^2+X X^2+X+1  X X^2+X+1 X^2 X^2+1 X^2+X X+1 X^2+1 X+1  1 X^2  1 X^2+X X^2+X+1 X+1 X^2+X X^2+X X^2  X X^2+X+1 X^2+X+1  X X^2+X+1 X+1  X  1  X X^2 X+1  1 X^2+1  1  0  0  1 X^2
 0  0  0  0  X  X  X  X  0  0  0 X^2+X X^2 X^2+X X^2+X X^2+X X^2  0  X X^2 X^2+X  0 X^2+X X^2 X^2+X  0 X^2+X X^2+X  0 X^2 X^2  0  X X^2 X^2+X X^2  0  X  X X^2+X  X  0 X^2 X^2+X  0 X^2  0  X X^2+X  X X^2  X X^2+X X^2+X  0 X^2+X  0 X^2
 0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2  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+118x^49+397x^50+954x^51+1107x^52+1670x^53+1855x^54+2654x^55+2787x^56+3256x^57+3073x^58+3448x^59+2888x^60+2684x^61+1815x^62+1666x^63+973x^64+674x^65+354x^66+220x^67+81x^68+38x^69+26x^70+16x^71+3x^72+8x^73+2x^75

The gray image is a linear code over GF(2) with n=232, k=15 and d=98.
This code was found by Heurico 1.16 in 35.7 seconds.