Scientists working with the Hubble space telescope has discovered the furthest galaxy so far discovered. The galaxy has the easy to remember GN-z11. It can be found in the constellation of Ursa Major in the northern hemisphere. It is not something you will be able to see by looking up at the night sky because it is so far away and so dim. The distance has being reported as being 13.4 billion light years away based on how old the galaxy is. Ref: N.A.S.A
The galaxy is believed to have been created a mere 400 million years after the Big Bang that created the universe. It gets its name from its location in the GOODS-North field of galaxies and its high Doppler z-scale. The galaxy is creating stars at about twenty times faster than our galaxy is doing now. You need to put that into prospective as our galaxy at the same time would be generating stars at a faster rate back then as it would be now.
The record will probably stand until the James Webb Space Telescope is launched in October 2018. The JSWT for short is expected to reveal in even more detail the universe and could discover a galaxy even further away but not much futher though given the age of the universe. The only picture that we have of the galaxy is red blob, you won't see any clarity that you do with say the Andromeda Galaxy.