Thats the route of the novel. I've find out some of the route in the game and I am not sure about rest of it.
London to Suez (???) 7 Days
Suez to Bombay (???) 13 Days
Bombay to Calcutta (Great Indian Peninsula Railway) 3 Days
Calcutta to Hong Kong (SS Thunder) 13 Days
Hong Kong to Yokohama (Jade Tiger) 6 Days
Yokohama to San Francisco (Waterlily) 6 Days
San Francisco to New York (Transcontinental Express ) 7 Days
New York to London (Henrietta) 9 Days
P.S. Some of the type of transport is different with the novel. But I can't think of any alternative route. But maybe you guys can do so.