The generator matrix

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

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+148x^49+457x^50+730x^51+1280x^52+1506x^53+2101x^54+2354x^55+3167x^56+3020x^57+3412x^58+2866x^59+3220x^60+2456x^61+2084x^62+1414x^63+1203x^64+612x^65+379x^66+180x^67+83x^68+62x^69+15x^70+8x^71+5x^72+4x^73+1x^84

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 35.8 seconds.