I suppose you should separate FC Spartak Tambov from FC Tambov. These are two different clubs.
Actually, Spartak Tambov is defunct today. The club withdrew from the Second Division in the 2012/2013 season and was dissolved due to bankruptcy. FC Tambov was founded in 2013 (officially unrelated to FC Spartak Tambov) and started playing in the Second Division in the 2013/2014 season.