However, I can tell you that the furthest planet in our real galaxy, the Milky Way, is a bit tricky to define.
* By direct observation: The furthest planet we've directly observed is Eris, a dwarf planet in the Kuiper Belt.
* By definition: There's a theoretical region called the Oort Cloud that is thought to be the outermost region of our solar system. It's so far away that we haven't directly observed it, but we believe it contains many icy bodies. Any planets there would be incredibly distant.
So, the answer depends on what you mean by "furthest planet"!