Kernel for battery life. topic

Hello.
I'm looking for a kernel for the Nexus 4 of course with the best battery life.
I almost don't play games, I just need a kernel with gamma control, sound control, and one that would not cause stutter to the device with battery life.
I used Franco r203 and I had only 1:30hr screen time, now I'm trying Franco r203 Plus but it cause stutter and pretty much the same battery.

Any suggestions?
Thanks!