heaviness in the chest can be a cause of many things with some being more serious than others, please call your doctor right away.
when did this start?
do you feel the heaviness when you're not moving or not coughing?
do you have any other symptoms?
do you have a cough from a cold?
don't know your medical history, don't know if you have other symptoms, though
not to alarm you but heaviness in the chest can be serious, please don't delay go
see your doctor.