In the crotch formed by the leaf stem and the branch or stem the leaf is attached to (called the leaf axil), there are a row of buds which are normally suppressed (from growing) by a chemical/hormone produced in the growing tip of the branch or stem. Did something happen to the branch/stem tip? It's unusual for so many suppressed buds to suddenly become active on F elastica.
Here is a tip. Removing the mature leaves below the new branch will make internodes on the new branch shorter and your plant fuller and more compact.
Also, if you pinch each new branch after it has 2 leaves on it, 2 more (new) branches will grow from the axils of the 2 new leaves. Example:
This rooted Ficus microcarpa cutting was pinched, as can be seen by the stub I intentionally allowed to remain. The act of pinching forced 2 new branches to grow in the axils of the mature leaves. I will remove the mature leaves you see in the image, and as soon as the the 2 new branches have 2 leaves, I will pinch those branches. So from 2 branches, I'll get 4. When I pinch those 4 back to 2 leaves, I'll get 8, then 16, 32, 64, .....
If you pinch your 6 new branches after 2 new leaves have opened, you will end up with 12 branches. Another pinch after those branches have 2 new leaves, you'll have 24, .....
Al