One of those very helpful error messages. I got this error when importing a large database, and it was caused by some insert statements exceeding the configured max_allowed_packet size (manual). According to this bug entry, the error message should actually say
Got a packet bigger than 'max_allowed_packet' bytes
but that doesn’t seem to fixed to this day. To fix the error, simply increase max_allowed_packet in your my.cnf file, under the [mysqld] section, e.g.
[mysqld]
max_allowed_packet = 16M