Still Leave for me although I don't believe there should be a second vote (regardless of what the original outcome was, Stay or Leave).
"The country has changed it's mind" - When you look at those areas who voted Leave in the highest numbers, has anything changed in their local situation to make them change their mind in high enough numbers to make a difference? I'd say no that hasn't and that it's still the same situation for those people now as it was during the original vote, if not "worse" (deliberately in quote marks), so why would Leavers start changing their vote?
"Echo Chamber" - While I see lots of Pro-Remain media almost daily what I don't see is any reporting of the current situation in those communities that voted Leave in high numbers. So just like the original vote, the media has yet again become an echo chamber of "we want remain" without any balance, so of course Remainers will think the country has changed it's mind, because of the lack of balance they can't see anything in the media which may/may not tell them differently which, should another vote be called, will lead to the shame "shock/meltdown" if they lost again. The press did an awful job during the first vote which is why it was such a surprise to everyone when Leave won, yet if they'd done their jobs better and actually reported in area's like Boston etc (85%+ Leave vote) it may have made Remainers more aware of the under-current of discontent across the nation.