I was using 4.4.2 and couldn't flash directly. Even when i waited 30min screen remained blackIt should flash, often you have to format data
What version of TWRP you have? Should be 2.8.7.0
Did you backup with TWRP on your SD ext card? If yes you can restore in TWRP
Did you format /data? writing yes when TWRP ask?
http://www.sammobile.com/firmwares/database/SM-P600/ with ODIN, there is no zip files now only my rom I think.
Had to use Odin to flash to 5.1.1, instantly booted with no black screen, went directly to the Samsung logo
then flash twrp because odin overwrite it.