1994 Honda Accord smoking after tune up

I recently changed the oil filler cap, spark plugs, wires, ignition cap & rotor. The valve cover gasket is leaking however and the old spark plugs were covered in oil. The car was previously not smoking but was losing/burning oil in some way. I started the car up and it was smoking... is this normal? I feel that it may be oil that got into the spark plug hole while changing it. Will it just burn off. Any help is appreciated. Thank You ~Wes
Added: The smoke is from tail pipe.