First off, a tuner is not always the best way to tune your bass.
Second, check your strings carefully. You can mistakenly wind them to the wrong octave (too tight or too loose). A tuner will only tell you E, A, D, or G. It sounds like your G sting may be too tight by an octave or two. Also, your E string is too tight by an octave. Have you broken the new strings in?
Try getting the E string tuned with a pitch pipe and then tune the other strings from that one. You could also tune them all with a pitch pipe and use the tuner to keep it tuned after that.
Also, don't be too concerned about what the tuner reads. The sound is more important than what the tuner reads.
Happy tuning!!!!