10 mythic tiers? They basically can't die so...whatever you want.
Using the rule of thumb of adding half the tiers to level comes up with 25th level, and there's little above CR 25 anyway so again, whatever you want. You might fine tune exactly what to use if there are glaring weaknesses in the PC's build of course.
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I don't recall there being any mythic support for kineticists, so this character will be a bit underpowered compared to most other mythic characters (relatively speaking, of course). A lot will ride on what abilities the GM allows with blast powers (remember, they are neither spells nor weapon attacks).
DR and Energy Resistances / Immunities will be significant issues and Kineticist's are typically built around consistent damage rather than the 'burst' damage you'll need to take opponents out before they can hurt you. (typically, it's all 'rocket tag' at these levels), so some sort of healing resource will be necessary.
I briefly looked at kineticist for our 'Wrath of the Righteous' campaign before deciding it wasn't going to work out...
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I don't recall there being any mythic support for kineticists, so this character will be a bit underpowered compared to most other mythic characters (relatively speaking, of course). A lot will ride on what abilities the GM allows with blast powers (remember, they are neither spells nor weapon attacks).
The latest book, Heroes of Golarion, actually does include a few mythic rules for occult classes - including Kineticists.
Kineticists didn't get a particularly large amount of path abilities, but they can use mythic power and burn interchangeably, and spend 1MP to add a third infusion to a blast while also reducing total burn by 2.
Those two alone make kineticists pretty crazy.