These threads pop up all the time. Chiyo is the best with 6 chases. Ay [Third] with full breakthroughs is the second best with 5 chases. Sasuke is third best with 4 chases, but there might be one or two other ninja who can chase four times. I know Karui will be able to, but we don't have her yet. Wind main can chase 4 times. In total, you can get a combo of 20.

Having said that, we don't have Ay [Third]'s breakthroughs yet, and I don't think there are any other 4-chase ninjas currently available, so just use any 3-chase ninja that fits for a combo of 18. Here's GNW Tenten: