I would recommend blackhawk next kernel that can be found here
http://forum.xda-developers.com/showthread.php?t=2522091
[KERNEL][SM-T31x][SINGLE/DUAL BOOT][STOCK/CM] blackhawk's NEXT kernel 1.7
This is the procedure to flash the kernel. You need to download 2 files from that thread. One is the Mali repack with a file size of 804kb you will find it somewhere in the middle of all of the downloads in the first post. The file name is mali-400-r3p2-01rel3-repack-t31x.zip*-
The second is the actual kernel, you are looking looking for the 1.7 t310 kernel file name blackhawk-next-kernel-1.7-t310.zip*-*
Once you have these 2 files, the ROM and suitable gapps.
Reboot into recovery and do a factory reset.
Install the ROM first
Followed by gapps
Thirdly you flash the kernel
And lastly the Mali file (this is actually a gfx driver).
Reboot and you should be done. Some people will do things in a slightly different order, it is not too important as long as you remember to flash the kernel and gfx driver AFTER you flash the ROM.
Hope this helps.