The generator matrix

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

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+56x^42+144x^43+232x^44+386x^45+562x^46+660x^47+794x^48+900x^49+888x^50+846x^51+736x^52+682x^53+516x^54+318x^55+206x^56+90x^57+74x^58+42x^59+12x^60+20x^61+14x^62+6x^63+3x^64+2x^65+2x^66

The gray image is a linear code over GF(2) with n=200, k=13 and d=84.
This code was found by Heurico 1.16 in 2.99 seconds.