My 330i shipped from the port of Antwerp on Hoegh Autoliners. It remained on the dock (code 193) for about 10 days before being loaded onto the ship.
The journey will take about 7 weeks as it goes to Souhampton, Santander, Durban, Freemantle, Adelaide, Melbourne and finally Port Kembla.
Hoegh schedules can be found here ...
https://www.hoeghautoliners.com/sailing-schedule
You can locate your vehicle by typing in the VIN number into this page ...
https://www.hoeghautoliners.com/my-cargo
(assuming BMW are using Hoegh for your vehicle)
Warning: tech geek stuff follows ...
Wallenius Wilhelmsen (
https://2wglobal.com) have removed the ability to search by VIN number. However, if you're a software engineer, you can use an API development tool like Postman and add in the cargo id field (oceanQuickSearchCriteria.cargoId) into the form post to search by VIN. This search also supports wildcards using %.
... or just ask your dealer for the ship name - easier but less satisfying