Batteries in parallel and series. Auto disconnect load while charging
Wiring batteries in parallel for charging and series for discharging sounds OK if you say it quickly. However it's best to avoid it, and do things 'normally', which is to keep them wired in series and charge and discharge in series, with appropriate balancing, and a boost converter between charge source and batteries to make the required charge voltage.

Your drawing shows the batteries wired in series and parallel, which shorts most of them. The multi-way relay needed to switch them between series and parallel would take a lot of space, consume power, stop the ability to use while charging, limit the discharge current, and is an extra point of potential failure.