His 1743 work A New Philosophico-chorographical Chart of East Kent was the first geological map of Southern England.
Packe had a heated controversy with Dr. John Gray of Canterbury respecting the treatment of Robert Worger of Hinxhill, Kent, who died of concussion of the brain, caused by a fall from his horse.
The relatives, not satisfied with Packe's treatment, called in Gray and two surgeons, who, Packe alleged in letters in the "Canterbury News-Letter" of 8 and 15 October 1726, killed the patient by excessive bleeding and trepanning.
He further defended himself in A Reply to Dr. Gray's three Answers to a written Paper, entitled Mr. Worger's Case, 4to, Canterbury, 1727.
in 1751 as a member of Peterhouse, Cambridge, practised as a physician at Canterbury, and published An Explanation of ... Boerhaave's Aphorisms .