It depends... did you say lies ? or were you sincerely wrong ?
the best thing is to accept at once your error, and to tell your embarassment and excuse to the person (or the people).
Just be sincere (one or many words doesn't matter), in words, in face, in acts.
It is heavy no to say any feeling. (culpability, hatred, sadness, for example).
Nous sommes libres. Wir sind frei. We are free. Somos libres. Siamo liberi.