Official Documents (Jeppesen in this case) gives the mass:
For 777-200 ER:
Empty 138346 - Max T/O 298464 (Jeppesen)
Empty 129200 - Max T/O 274000 (My Fleet)
For 777-200 LR:
Empty 145150 - Max T/O 348359 (Jeppesen)
Empty 140800 - Max T/O 340200 (My Fleet)
For 777-300 ER:
Empty 167829 - Max T/O 352441 (Jeppesen)
Empty 150500 - Max T/O 340200 (My Fleet)
The example in Jeppesen for 777-300 gives empty 157850 whereas the empty in the table is 160481. Instead if using ACN 25 they have used 24 (as also explained and confirmed by OverRun through performance software tool). Weight differential in my case is much more, so the need