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Kapetan Luka TP operate a high-speed ferry between Split and Dubrovnik, with various intermediate stops including Korcula. According to the linked website, between the 1st of June and 27th September 2015, the ferries run every day. It would seem there's one ferry that runs a round trip Split - Dubrovnik - Split within the same day. Below is the timetable and the price list, courtesy of the company website (here is a pdf version):
For more information you can contact the company at:
MB Kapetan Luka TP - High Speed ship Services
Address: PoljiΔka cesta - Krilo 4,
21314 Krilo Jesenice
Telephone: 021 / 645 476
Fax: 021 / 872 877
Web: www.krilo.hr
Contact person 1: Luka TomiΔ
Email: [email protected]
Contact person 2: Ivana TomiΔ
Email: [email protected]