Hi zero,
Multiplexing of several digits always produces a dim display unless you use somewhat high current drivers. The reason for this is because each segment is only on for a fraction of the total time.
For example, if your segment is on for 1/7 of the time and the max current from the driver is 20ma, that means the segment only sees 20ma divided by 7 which equals roughly 3ma average current, and it's the average current that produces the light intensity not the peak current of 20ma. That would mean the display is being grossly under driven and so wont be very bright at all.
The driver BTW has to provide enough current in both the anode and cathode, so that could mean both upper and lower drivers have to be changed.
The only solution using the current LED display type is to increase the peak drive current. 70ma for example would produce 10ma in each LED, and 140ma would produce an average of 20ma per segment in the above example. This assumes that the data sheet says it allows 140ma or higher peak.
If your display segments are not connected together internally you could use direct drive, but that requires a lot of chips.
You may be able to go to a higher brightness LED type digit also, but that would of course mean buying all new display digits.