Looks pretty good. The resistors may be a little low. 330R would be safer.
If you do not need maximum brightness, you could consider reducing the number of chips required from 5 to 2 by multiplexing the display. 5 pnp transistors such as bc327 would be needed to control the digit commons, with 10K base pull-up resistors and 330R series resistors. One tpic chip would connect to the segments of all digits and the other tpic chip would drive the transistor bases.