Here’s an embedded string cover, which is the default embed method. You can enter it and see the moments inside. It’s super easy to copy and paste the embed code (you can see for yourself, just click on the string and then click the … at the bottom).
Right now, the string opens in reverse chronological order to see the most recent moments first. Depending on the purpose, though, that may not make sense — so you could have it start at the top, which for finite stories with new audiences may well make the most sense.
Here’s a screenshot of a string that’s been opened to start at the top, for example.