Hi,
there is no fixed time after which or under which an indexed page starts appearing in the SERPs.
I just checked your sitemap.xml file and it has only the https version of the URLs. In the index, I saw non https version is URLs are also listed. So there is no consistency. You have decided to serve the entire site in https and parts of it are still non-https. Serving the pages in https puts an overhead on your server. This might result in poor page loading times. If you have good resources on the server side, then this should not be a problem.
Though guys at Google say they don't care if the URLs are https or http when in comes to ranking but here I would like to mention as site loading time is an official ranking factor, when Google comes across two similarly capable and eligible pages competing for the same keyword, the one that has better loading times will be favored. By the way, can you let me know the reason behind serving the entire site in https?
Your linking profile is not at all consistent. You build links to http://www.peprismine.com and https://www.peprismine.com
Please beware that http://www.peprismine.com, though it takes you to https://www.peprismine.com, it does not give an http header status 301 instead it gives a status 200 message. This should be fixed immediately. If you get this fixed, I think you should be fine technically but be careful with pages being served over SSL as this tends to screw the page loading times sometimes. You might want to look in to this. Don't blindly go by the page speed test scores instead, look at the actual page loading times. You can do a test here: http://www.urivalet.com and also go ahead and perform a test at webpagetest.org and check out the performance review section.
Best regards,
Devanur Rafi.