I am currently doing a driveway oil change and when i went to remove the oil filter i got stuck by this braided line that I have no idea what it supposed to run to.

How long have you had the car. it looks like someone capped off a line that used to go to something, maybe a oil cooler or remote oil filter.

make-shift oil pan vent?

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"Kilgore Trout once wrote a short story which was a dialogue between two pieces of yeast. They were discussing the possible purposes of life as they ate sugar and suffocated in their own excrement. Because of their limited intelligence, they never came close to guessing that they were making champagne." - Kurt Vonnegut

I have had the car about a year now but was parked all winter and before that only put about 50 miles on it. If its not a stock part Ill just guess that its something the PO did to hide the massive blowby issue that failed so he capped it off.

Thanks for the reply's guys.

Turbo oil drain? Not stock, of course.

Sounds like the engine may have a lot of dirty oil buildup. I am not affiliated with this product but I used it on the recommendation of another forum member, go to auto-rx.com and read up about the product. I had leaking rear axle seals and it cured them enough that I was able to replace the motor oil with GM synchromesh fluid and now have no leaks. I am in the process of ordering more to use in the engine to clean the engine, rings, etc. and condition the seals. It is a gentle cleaner and conditioner. I know testimonials can be bogus but I think its worth a try to avoid opening up the engine.