Well if we are talking franchises than yes ST does, DW (and spin offs TW, SJA, K9 & Company) clock in somewhere around the 440 hours mark.
But you could make an argument that DW has the record for a single Sci-Fi show. Despite all the cast changes, it has one thing that has remaind constant the title character, The Doctor.
Well, the original Doctor Who ran for 26 years, and that is a record as far as I know. However, from a production standpoint, the 63-89 show, and the 2005 - Present show, are two different series. The latter is really a 'sequel' to the original, and set in the same continuity.