Titanoboa ( meaning Boa Titan ) , was a genus of snake that lived about 60 to 58 million years ago , in the Paleocene epoch , a 10-million-year time after the dinosaurs were extinct . Titanoboa , , meaning `` titanic boa , '' is a genus of snake that lived approximately 60 to 58 million years ago , in the Paleocene epoch , a 10-million-year period immediately following the dinosaur extinction event .