Not the closest but with up to 7 planets of the size and block equivalent to Earth, Solar System vesion 2.0 Trappist-1 is a very bright candidate.
For more context, see When do all eight planets in the Solar System align?.
The tiny Trappist-1 star is only about 39-40 light-years away, which is the bright spot of last night not because we can see it with the naked eye in the night sky, but there are 7 planets of a size and a mass close to Earth, most likely an environment that allows life to exist.
Here are the latest photos of the 7 star planet Trappist-1:
