Are my calculations for this LED boost driver circuit correct? (TPS61169)
Expanding on AndyAka's comment:
The standard schematic you are referring to can only drive correctly one series of LEDs without other means of current sharing (it also says in the top right corner of your image 10s1p).
You either need one TP61169 per parallel string, or even better a four channel backlight driver (for instance, TI's LP8862 has two channels).
Since you are going for SOT23 package, i suppose you are trying to save space, therefore i would suggest the single driver solution, this way you'll need to place components only for a single boost stage instead of four, albeit said components will be slightly bigger.
This quick search shows that multi channel LED driver are inherently bigger, but perhaps you can find one that suits your needs, also depending on what SMD mounting process you have available.