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16-bit I2C addressing?

Other Parts Discussed in Thread: TCA9548A

We need more that 10 bits of address for our custom sensor chip.  We may have up to 64K of them in a system.  We'll be using a lot of TI chips - extenders, repeaters, hubs, etc.  The I2C standard only allows 7 or 10 bit addressing.  I need some ideas to enable 16-bit addressing in I2C.  Any ideas out there?