Update: TWRP now version 3.0.2-1
You flash this at your own risk. Please ensure you have the stock ROM to hand downloaded from SAMMOBILE in case of problems. This will trip the knox counter.
Put your device in DOWNLOAD mode.
Flash with ODIN 3.10.7 in the AP slot.
Uncheck Auto reboot.
Load the respective file below into the AP slot and hit start.
After flashing immediately reboot to recovery by holding POWER + HOME + VOL DOWN.
As soon as the screen goes blank change to VOL UP whilst still holding the other buttons.
You should now see TWRP recovery.
Qualcomm models SM-T377P/SM-T377R4 / SM-T560NU:
Spreadtrum models SM-T560 / SM-T561(Y/M):
Flash the latest Supersu version below with TWRP:
DO NOT LET TWRP ROOT YOUR DEVICE IF IT ASKS. USE ONLY THE FILE BELOW:
NOTE: ON SOME ANDROID 5.1.1 DEVICES IT IS NECESSARY TO GO TO:
Settings -> Developer Options -> OEM unlocking
AND ENABLE OEM UNLOCK FIRST OR YOU MAY ENCOUNTER 'BLOCKED BY FRP LOCK' WHEN FLASHING.
STOCK TWRP IMAGE FOR SM-T377P
This is a link to the stock system, boot, modem image for the T377P in case anyone needs it. Needs to be restored with twrp.
Thanks to @shawn1976 for providing this.
Credits: Teamwin and my testers - Phrozen99 and nates730 wizzhard and Siarl
Please note I don't own this device and spend a lot of my free time bringing these builds for you to use and benefit from.
FEEDBACK IS APPRECIATED.
DONATE ME HERE IF YOU WANT TO BUY ME A BEER OR HIT THE THANKS BUTTON IF I HELPED YOU