Monk & Constitution
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Ring of Gaxx = 1 hp/3 seconds (2 hp/round)
Ring of Regen x2, Fong Wei's Ioun Stone, Axe of Unyielding +3, 25 con = 1 hp/ round each. Total of 5 hp/round (but is still overwritten, since Gaxx and AotU+5 are singularly better)
Staff of the high Forest = 1 hp/ 2 rounds
24 Con = 1 hp/ ~3 rounds
Pearly White Ioun stone = 2 hp/turn
23 Con = 1 hp/ 5 rounds
22 Con = 1 hp / ~7 rounds
21 Con = 1 hp/ ~9 rounds
20 Con, Dragonslayer = 1 hp/ turn, 2 hp/turn total
Also, if you're interested in using the Claw of Kazgaroth, which reduces Con by 2, but gives benefits to most saving throws and an AC boost, then 18 Con would give you headspace to have this reduced back to 16.
Am not sure if any of the above make it worth putting more than 16 into Con for a Monk, as there are probably other stats that would benefit more, but if you have them spare, going to 18 Con is not necessarily a total waste.
Also, although they can't be Monks, Gnomes, Dwarves and Halflings all benefit from Constitution-based saving throw bonuses, 14-17 Con gives +4 to saves, 18+ gives +5 to saves, which arguably *is* worth trying to get.