You have a good chunk of change I'd concur with others and say play as many as you can.
Also the reason we wanted to know where you live is because, in that range of $$ you might find something used at local shops or with local players.
Your 16 so I realize you might not have the means to drive around everywhere searching for basses, I'd say do this..
Get your Camera
Go to surrounding area music stores, and play DB's and take pics.. and notes of likes and dislikes etc and details of basses..
As you try them post the pics and your thoughts on the instruments here in this thread.
Then we'll be able to give thoughts on particular instruments and if the instruments look sound.. and you'll have gotten a little more experience of the different feeling and sounds of instruments, then you'll be able to make a more informed buying decision.
You are lucky to have saved up 6k or have very supportive parents..
They must be great to have been getting you lessons for 8 years already..
So tell them you how much you appreciate them and how much it really means to you.. : )
Plus we all like different things, in basses especially in dimensions and necks..
So, just have some fun and enjoy the searching and buying process a bit and post back here on what you've found locally.. pics always help a ton.. plus we like the eye candy..
Best,