I'd say two weeks is perfect, one week at a push but certainly no sooner. I got a chest tattoo years ago when I used to box, and it took plenty of abuse about a week or so after I got it. Didn't do any visible damage.
Same here. I've gotten tats and submerged them and put them in the sun right after. Nothing bad happened, but I wouldn't do it again.
Treat it like an open wound, because it pretty much is.
Don't train for 10-14 days man. Certainly not in a gi, and if you do train no-gi, cover it up AND wear a long sleeve rashguard.
But since it's an open wound you have 2 problems:
1. In gi, the clothing will tear that shit up, and it'll be excruciating and could fuck up your tat.
2. No-gi you're more likely to get staph and your tat is an open wound, so imagine getting MRSA or something. I've heard of some extreme horror stories of people getting staph in their new tats. Like amputation type horror stories.
You have your body for life, so take care of it. On the bright side, you can train for life too. No hurry. I know it sucks, but I just came back from eye surgery with like 6 weeks off and even I rushed back and can't do gi yet. Just take your time chief.