Those dark objects are the deployment bags which contained the main parachutes prior to inflation.
Source: The Apollo Parachute Landing System
Also from Apollo 15 Main Parachute Failure Anomaly Report
Two 16.5-foot diameter conical ribbon~type drogue parachutes are
mortar-deployed 1.6 seconds after forward heat shield jettison. The
drogue parachutes are deployed in a reefed condition and, 1O seconds
later, inflate to the fully open configuration. The drogue
parachutes are released from the command module at an altitude of
about 11000 feet. At drogue parachute disconnect three 7.2-foot
diameter ring-slot pilot parachutes are mortar-deployed. The pilot
parachutes provide the force necessary to release the main parachute
retention system and pull the main parachute pack assemblies from the
upper deck. As the main parachute packs are pulled away from the
command module, the parachutes are extracted from their deployment
bags. Each main parachute inflates through two reefing stages to the
fully open configuration.
I cropped and annotated this Apollo 16 image to show the entire system: pilot chutes, deployment bags, and main canopies.
Red arrows - pilot chutes; Green arrows, deployment bags.
There are no "weights" provided on top of the parachute canopies.