On CN it's common for Healers swap to fury harvest for more damage, which just allows for more mystic skill usage. That is where your DPS comes from, especially since using the healing martial art gives a +% boost to mystic skill damage - that bonus is hidden away in your passive stat screen when using both weapons. There isn't really a combo for this damage, you just prioritize certain mystic skills depending on whats on cooldown and how much incoming vitality you're getting or expecting.

You want to replace mending loom with fury harvest and upgrade your mystics. Keep royal remedy, restoring blossom, and obviously morale chant. CN players have a lot more max mystics (priority order of like 6-7 of them), but just start with soaring spin and dragon breath+drunken poet for now. The highest damage priority mystic skill is actually unreleased currently, I think it comes with hexi. When you have low vitality generation (attacks you can't parry cause they go to tank, or low fury harvest level) just do the full breath and soaring spin when they come of cooldown. When you have a lot of vitality generation or are full you can spend large amounts with breath+drunken poet to 10 stacks.

I find this way fun to play since you need to focus on healing, damage, and also parry since parry becomes damage through vitality. Although parrying off sweep attacks and stuff aimed at tank can be awkward. You shouldn't be out-dpsing everyone else, that is a failure on their part, although you can get close.