Since you had no risk, there is nothing to test. For someone who has a risk, which you do NOT, a 4th generation duo is conclusive at 28 days post exposure. All other tests on the market are conclusive at 12 weeks post exposure. But again, you had NO risk from what you described so none of this even applies to you.
The only adult risks for HIV are:
1) having unprotected, penetrative vaginal or anal sex, or
2) sharing intravenous drug needles
If you do not do either of those activities, you will NEVER have to worry about HIV. You cannot get a test to turn positive ever, because you haven't had a risk for HIV. You did not even need one test, so you definitely do not need any more tests.