I like the spaces in between the stitches, and thought it was intentional also. It works since it's such a simple pattern.
Anyway, when you are stitching, your work should look something like this:
You could try a simple search on youtube to see what you are doing different, but like it was mentioned before, to get the stitches next to each other, they need to 'share' the holes. So for example, your pellet in the middle:
XX
XX
would be made up by 4 complete stitches - the 4 stitches use 9 holes in total. The center hole will essentially have the needle pass through it 4 times. Hope that makes sense.