Adalaide 8 departure (RW 23)
It all depends on what sid you get.
If you saw the 737 turn fairly early on they might have been on the
Adelaide 8 departure (radar) which is maintain runway hdg (222) till at or above 600AND passing 1 DME to the south west then turn to assigned hdg. (1 DME AD is just passed the shoreline)
If they were on any other departure then they would continue to track runway hdg for longer.
Hope this helps