Thanks for posting! If your 16" measurement is the length of the metal channel, not including the top and bottom attachments, you balance can be replaced with either the S380-16 with a 1" shoe or the S385-16 with a 1-3/32" shoe. To determine which series is the correct fit, see the diagram below for reference; you'll need to confirm the depth of your bottom shoe. You'll also want to be sure to double check the length of the metal channel.
You'll need to take a look at the stamp from your metal channel to confirm the stamp option you'll need to select at check out. Unfortunately, I am unable to read the stamp from the photo you provided.
Also, I did notice that you sent an inquiry for the same style balance. I merged both of your inquires so all of the information will be in one place. For your balances marked with a 23 4, you'll need either the S380-24 or the S385-24. Once you've confirmed the series, you'll need to select the 2340 stamp option.