Help with identifying a balance

A quick learner from USA says:
hello we have some visions 2000 doublhung windows and are trying to find replacement balances like the one in this picture. We need 21HD,20HD,14HD,15HD any help you could offer would be great. Thanks your pal, Matt.
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Paul from SWISCO responded:
Thank you for posting. I have received your image. I have related some balanced on the right side of this page that I think will work for you. Those codes you listed are the same as the options you will need to choose for each. Take a look at them and see if they will match.
How to install a ribbed tilt channel balance with knife lock shoe
How to install a ribbed tilt channel balance with knife lock shoe
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