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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+103x^42+324x^44+52x^45+320x^46+168x^47+562x^48+284x^49+574x^50+304x^51+431x^52+172x^53+394x^54+40x^55+179x^56+4x^57+117x^58+36x^60+22x^62+1x^64+6x^66+1x^68+1x^72

The gray image is a linear code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 0.897 seconds.