Can I put my battery in the middle of my parallel circuit?
The two circuits shown are exactly the same. Both use parallel connection of four sets of LED plus resistor and battery. Placing battery at top, middle, or bottom (or anywhere in between) while leaving the same connections unchanged will give the same result. This is because for parallel connection,  the battery’s connected to the same points. You can see this by moving your fingers over the two places where battery is connected and see that they are in fact the same points on the wire. If you want to save wire length or optimal placement of battery then by all means keep battery in middle as long as you keep it connected to same points shown in your picture. For examples of circuits that are similar, I’d just recommend googling “parallel led circuits”.