I can't help you with a current jailbreak for iOS 10.
However, I can unequivocally state to you that the last UNTETHERED jailbreak was for iOS 9.1.
Everything released after that is what's referred to as semi-untethered. There is an app that resides on the device that jailbreaks the device when run (after installing the jailbreak itself). It must be rerun every time the phone is rebooted.
That, so far, appears to be how it will work from now on. Anything telling you different is fake.