Are you wanting to research, or generate keywords? These are two separate categories, and honestly I have yet to find a program that can do both on a mass scale that you're asking for.

Personally I use Market Samurai for all my keyword researching and generating, however it doesn't have the capabilities of 'spitting out 10k-15k' keywords like that. With that amount of volume you'd be looking at needing a lot of proxies or use a tool that just scrapes long tail keywords with from the 'Search Suggestions'

It truly makes me wonder when I see folks looking for tools that will give them 15 thousand keywords. What kind of crazy mission are you on? Will you use them all? Will you see the work through? Why not start with one keyword (get it with your brain), break it down into 20 two-word keywords (work it out with your brain), split those down further into 200 longtail keywords (did I say brain?).

This can all be done with MS word or notepad and.... a brain.

you can try the keyword research from squirrly seo. for me works really well