Boland & al., 'Eucalyptus Seed' (CSIRO 1980) recommend for this species (based on their testing) a temperature of 35 deg C and a medium of pure vermiculite. They recorded first germination at 5 days, continuing up to 14 days.
This is the Eucalyptus sp. occurring closest to the equator, in northern PNG and southern Philippines, but not in Australia.
I propagate hundreds of Eucs from seed every year for taxonomic purposes but always from Southern Australia not from the north. I am not familiar with this particular species but Eucalyptus seeds can easily be separated from the chaff (other stuff which falls out of the ripe and dry fruit). Every time I go to a supermarket I buy a tea strainer. Each brand and type has a slightly different sieve size. I now have a good collection and usually there is one which will particularly suit each species because seed size varies greatly. With subgenus monocalyptus, I don't bother. I germinate the seeds in trays and transplant to empty milk cartons (filled with soil of course) after the third or fouth set of seedling leaves has formed. Of course you can plant the chaff as well but I strain the seed to get a good idea of the viability. Eucs prefer to be planted only a few mm below the surface. The raising mix I use is sand and clay and the only fertiliser is a bit of ash from the fire roughly a tea spoon of ash per kilo of soil. Any other fertiliser at all will usually kill them or prevent germination. When propagating a new species I make one end of the tray slightly acidic (rotting sawdust) and the other end alkaline (lime sand) with a plastic separator. The end of the tray which does best tells me what to use next year. It also tells me the best acidity of the soil to which I will transplant them and the best place to plant them when they are about a year old.
Its an easy but very rewarding task. I hope this is of some help.