The conservative diving recommendations outlined above will reduce your father's risk of DCS, which is may be higher because of his age (see this article). Hypertension is a pretty broad term, and you didn't mention how high it is or whether he's on medication for it. If it's well-controlled and he has no other health problems then hypertension in and of itself probably would not present a problem; however, some of the medications used to treat hypertension can limit the ability of the heart to respond to exercise.
Best regards,
DDM
Best regards,
DDM
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