Answer
Laird's BL600 BLE module only supports Peripheral mode. When loaded with peripheral firmware, only one connection can be made at a time. If Central mode is needed, then you will need the part number BL620 with Central firmware load. The hardware between both part number series is the same-- the only difference is in the firmware load. When loaded with Central role firmware, the BL620 currently supports up to 4 simultaneous connections.