Any place you can think of where a government will invoke "public interest" to silence those who challenge this government's trampling of human rights.
Doesn't count. Reality doesn't change because they use spooky definitions for their newspeak terms.
On the other hand, I'm sure there could be cases where public interest and human rights are at odds. Say, torturing an enemy soldier over an upcoming attack from his own unit. (Assuming war was the solution in the first place…)
What would you chose? I personally may chose torture, if I estimate it is the lesser of two evils. (The other evil has to be pretty big, and I'd better be sure this is really the right call, as opposed to me being motivated by revenge or something —moral dilemmas suck.)