How to design a circuit that protect 7 lithium-ions in series

There are many ICs that protect Li+ battery string(<=4 cells in series).

Now I have a project that I have to design a circuit that protect 7 Li+
in series. There is no IC which is designed for string larger than 4 cells.

The way I choose to design the circuit is to use 7 single cell protection ICs
in series, one chip protecting one chip. But the problem I met is the
circuit can not provide overcharge protection when the battery voltage go up
very fast.

Is the way I choose wrong? Anyone could give me some advice?

Thanks in advance.
.

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