The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+16x^51+313x^52+220x^53+152x^54+392x^55+521x^56+372x^57+216x^58+448x^59+402x^60+388x^61+136x^62+168x^63+221x^64+44x^65+8x^66+65x^68+9x^72+4x^76

The gray image is a linear code over GF(2) with n=232, k=12 and d=102.
This code was found by Heurico 1.16 in 7.59 seconds.