Need help on playing back recorded, segmented 20 second mp4 files as one Stream.

Hey Guys,

I am currently recording an livestream 24/7. The recorded video is saved as 20 second long mp4 files.

Now I need to play them back, but I want this to be a fluent video.

I could restart the VOD-Stream everytime the 20 second-video is finished but there would be long gaps then.

It has to be a fluent video and I want to start at a choosen video like stream1_17.04.2016_14:20:30

I hope someone can help me there. I just need the part where the next video is buffered while the current one is still running.

I would pay 15$ via Paypal for anyone how gets me to make this work.

Thanks.