2004,Oil still leaking after I changed oil filter

I have a 2004 1.6 Hyundai Getz, manual Transmission. I noticed the car was leaking oil from the oil filter region. The reason I'm saying that is because every now and then I'd look to see a drop hanging off of the oil filter. and the oil pan under that is filled with oil. I thought it would be the oil filter so I drained the oil, replaced the oil filter and and refilled the oil. After about 2 days it started doing the exact same thing, what else could it be? and is it something I can replace myself or do I have to go to a dealer to get fixed?

My car has 1242743 miles.
My car has a