Okay...now I see! So... if I would (I will not) update our profile so that there'd be no caches listed I would be able to go to my profile. (There's a quite long list of caches on our profile site/page.)
Well, I'll check our own caches (what's the location).
And just a second ago I was able to visit the "missing" page of our TB. Someone is fixing something, I guess.
Thanks / kiitos for your replies, let's see what happens next with this problem.
EDIT: I see our profile, not the 'first' site after logging in (logs in 30 days).