28mA for 10ms shouldn't be a problem for an Arduino pin.
Connect the coil to two Arduino pins, and make one or the other HIGH for that short duration.
Use four schottky kickback diodes, like you see on an H-bridge.
The total resistance of two ports could be ~50ohm.
Just try if that 's a problem or not.
Datasheet says that the relay will work from 3.75volt.
Leo..