The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+122x^50+4x^51+308x^52+56x^53+428x^54+168x^55+493x^56+260x^57+526x^58+340x^59+433x^60+128x^61+302x^62+64x^63+248x^64+4x^65+106x^66+73x^68+18x^70+9x^72+2x^74+2x^76+1x^88

The gray image is a linear code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 1.12 seconds.