In the exim error log, if you find the above error, this indicates that huge mails are being send, and the default exim feature is to handle 10 messages in a single connection. This could be raised by adding the following configuration to exim.conf and restarting the service,
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smtp_accept_queue_per_connection = 30, to change the value to 30.
/etc/init.d/exim restart
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Done
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smtp_accept_queue_per_connection = 30, to change the value to 30.
/etc/init.d/exim restart
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Done