For this I would recommend copying your animation and put it inside a movieclip. That way you can make 10 copies of the movieclip and place them where you want.
First you would need to click and drag to highlight all the frames in your animation and then right click on them and select copy frames. Then click on the symbol on the first frame, right click on it and convert it to a symbol. To add the animation to that symbol, double click it to edit it. Now that you're inside it, you should see that the timeline only have one keyframe. Right click on the first keyframe and select paste frames, which should insert the animation on the symbol's timeline. Once you're done, just double click anywhere on the stage to get back to the main timeline. Since the animation is inside the symbol, you only need one keyframe on the main timeline, so you can get rid of the rest. Then you can just make as many copies of that symbol as you want.
To make some of them glimmer at different speeds, you can open the library panel and right click on the symbol and select duplicate. You can then animate the duplicated version at a different speed.
YESSSS!!!! Thank you! That's one life made very much easier - thank you kind sir!
OK... I had a brief wobble this morning as I tried to do this within my master animation and it wouldn't work!!! What I tried to do was create the animation on one of the layers on my master file. Try as hard as I could, following the instructions, it just wouldn't work! So I then opened a new Animate file and imported just my sparkle image onto the stage. Created the animation as per your steps and it worked perfectly. I then copied and pasted the animated symbol into the master and... Bingo!!