Heavy (X) "Weapons with the Heavy (X) Special Rule gain +1 to a Characteristic when Stationary."
When making a Shooting Attack with a Weapon that has the Heavy (X) Special Rule, a modifier of +1 is added to a Characteristic if the Model with that Weapon is part of a Unit that remained Stationary in the Controlling Player’s previous Movement Phase. If the Characteristic listed is AP, then instead it improves the AP by one Step. The value of X in the specific variant of the Heavy (X) Special Rule determines which Characteristic gains the +1 modifier.