Don't expect your groups to touch. That is not the intent of a J frame Chief. Expect exactly what you see in the targets shown, which is plenty good enough for SD.
To get the basic feel of your sights and gun, I'd start out firing single action shots. Once you zero in single action, then you'll have the knowledge of what your sight picture needs to look like firing double action. I'd work at 30 feet, but thats my own preference.
Go slow at first. With such a short barrel, holding steady aim at your 10 ring while firing double action will take a little more practice, a little more attention to details of what your firing hand is doing while you cycle the action.
Once you have the basics down, then it is time to start the drills. Firing with your weak hand, double action. That takes some practice! Firing while moving laterally, or crouched, your body in motion. Or set up 2 targets, 10 feet apart, and put 2 shots within the black of each one, in as little time as you can.
Setting up a large coffee can on a string, or even an empty gallon jug, and set it swinging. On a windy day, you won't have to get it swinging, the wind will do it. I'd work closer for this one, 20 feet or under.