I got a 16GB one too. Seems to me that I made a bad choice, since the one being currently modded by the community is the 8GB one.
Some more details:
It is running 4.2.2 Jelly Bean
The model number on mine is: S7800-B-01-201410-16GB-00160.
The software version number is S7800-01-V1.5-20140605.111625
And the kernel version is
[email protected] #5
Going by sandwich's post, there are no customs ROMs for the 16GB version, but it is not clear to me if I can or cannot try the fixed kernels. My common sense says no, but I'm not sure.