A recent and blatant example is Benghazi. She repeatedly told the American public and the families of the victims that the attack on the US Embassy was the result of a spontaneous demonstration resulting from anger over a video that had been posted on the internet. At that same time she sent emails to her daughter and to leaders of at least two other countries saying that she was aware (as was everyone with any knowledge of the event) that it was not a spontaneous attack at all. It was a planned terrorist attack and it had nothing whatsoever to do with the video that she was blaming it on.
This highlights another of her many lies because the emails referenced above came from an account she was illegally using to circumvent government oversight requirements. Once discovered she claimed that the server was for personal use only, then attempted to delete tens of thousands of emails before turning the information over to the investigators. Unfortunately for her, technicians have successfully recovered thousands of deleted emails that prove that she was using the private account for exactly the things that she claimed she hadn't been doing, including communicating top secret US government information.