The route included a number of key spots, including Liverpool Road in honour of his 85 appearances for the Merseyside club, Abbey Road for his wife Abbey Clancy, and the Samrat restaurant, a favourite of the former England international which rose to national prominence through That Peter Crouch Podcast.
Mr Peck's run went viral last week after the former Liverpool, Tottenham and Stoke striker took to Twitter to say he was a "big fan" of the route, unbeknown to the runner himself.
He said: "I haven't used Twitter in three years, so I had to download it again to see what was happening.