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I registered for the June 2010 LSAT. I started studying after school got out for me a couple weeks ago. I scored 160 on the first practice exam, and that was with more time than I'm allowed, so it was probably even lower than 160.

After two weeks, yesterday, I was able to bring my score up to 166, and finished every section on time. Section by section breakdown went LR: -4 LG: -0 RC: -4 LR: -4
I am studying LR with Powerscore, but I'm not sure how much that's helping me right now, I haven't really used anything the book taught me on my practice exams. The improvement thus far has just come due to experience and building familiarity with timing and questions.

I have a little less than 3 weeks left. I brought my score up from below 160 two weeks ago to the 163-164 range last week and now 166 at the start of this week.
If I keep doing what I'm doing, is 170 in June plausible? Or should I forget it and just do more studying to ensure a 170 and take it in October?

I know these threads are really common, but if anyone can provide input for my case, it would be greatly appreciated.

You should really figure out what you're getting wrong on PT's and why you're getting the stuff wrong- you might see a pattern which you can fix.

If I were you i would add in an experimental section. Taking a full test with experimental is a lot more difficult then just taking four sections. This will then give you a more accurate prediction on what your score may look like on test day