I'm working on designing an active capacitive cell balancer using IRFZ44N MOSFETs, the TC4422 Driver IC, and an STM32 microcontroller. The STM32 will read the voltage of each cell using its ADC and control the MOSFETs through GPIO pins.

The system is for a prototype battery made of 10 supercapacitors (400F, 2.7V), grouped into 5 cells, with each cell consisting of two supercapacitors connected in parallel. The goal is to balance the voltage across these cells.

I’ve put together a rough schematic and would love some feedback. I'll also be using current-limiting resistors to protect the system.
Need your insights about this.... I'm guessing this might not work and need many improvements.
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I am guessing that the "battery" is a series stack of the capacitor pairs. I am also thinking that probably the STM32 does not have differential inputs to it's analog section. In addition, probably there will also be a problem with common mode voltage limits for any analog input scheme.
These concerns are based on my experience with multiplexed analog inputs in the past, so they certainly will require a close examination of the analog input section specifications of that STM32 system.