LED Time Wall with UNO?

Hello,

would it be possible to control a big amount of LED's with one UNO?

I would like to build a time wall like this:

With 6 digits and each digit has 13 LED's. So i need to be able to control 78 led's.

What would be the best solution for this case?

Thank you and best regards,
HANNES

each digit has 13 LED's.

Not very normal for a seven segment display.
Anyway I would use several of these TPIC6B595 High Power Shift Register [TPIC6B595] : ID 457 : $1.95 : Adafruit Industries, Unique & fun DIY electronics and kits
Or if you like them already soldered on a board try
http://www.micro4you.com/store/mini-tpic6b595-output-shift-register.html