The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+86x^47+387x^48+992x^49+1825x^50+2718x^51+4087x^52+6036x^53+7746x^54+9632x^55+11579x^56+13372x^57+13673x^58+12824x^59+12416x^60+10506x^61+8001x^62+5724x^63+3836x^64+2566x^65+1438x^66+792x^67+405x^68+242x^69+109x^70+30x^71+25x^72+14x^73+8x^74+2x^75

The gray image is a linear code over GF(2) with n=232, k=17 and d=94.
This code was found by Heurico 1.13 in 172 seconds.