Here is the full list of all 13 Heavy Weapon trophies - there are 10 bronze, 2 silver and 1 gold.
Stand together with another player to complete one mission
Complete 9 missions without nukes or reinforcements
Defeat all 19 Red Star Champions in Boss Blitz Mode.
Dispel the enemies of liberty. Finish mission mode.
Survive 12 minutes of the enemy's attack in any survival game.
Destroy 10 enemies with a single nuke.
Play online with three other players
Amass 5,000,000 points
Take a tour of each Red Star Country and trash the place! Complete the first 9 missions.
Destroy the Supply Chopper in Mission Mode. Who needs power-ups?
Withstand eight minutes of the Red Star onslaught in any survival game.
Collect components to complete a megalaser
Go ballistic... Use your first nuke!