Err, vending, selling art (if you're really good), exchanging, and hardcore Booty Grabbing on high-trigger tanks will probably enable you to make 1 million in a week. Invest in RIGs and EIs and sell them for a profit. If you look in the Gaia Guides and Resources subforum, there are guides that tell you how to make millions in a short amount of time.
The fastest way would be to buy a bunch of Gaia Cash and use it buy expensive items from Phin Phang or the Cash Shop. Honestly, that's the only way I can think of to earn that kind of gold in such a short period of time without vending constantly, and vending has its limits if you don't have valuable items to begin with.
17 million in that short amount of time? You can't make it that fast. Even if you buy Gaia Cash, it will take months to get to 17 million. Friday to Sunday, it's not going to happen.
You could if you were willing to spend that much money. Around $300 will do it, if you know what to buy and sell. It's not a reasonable solution for most people, but it's possible and is just about the only way I know of for someone without at least 17 mil worth in items to earn that much gold in such a short amount of time.