Pour tomatoes and chicken broth into pot. Chunk up butter a bit and add to pot, along with basil and sugar.
Heat over medium heat until butter is melted.
Turn heat to medium-low and blend with hand blender. Keep blending until the soup is at the texture and consistency that you like.
Add a little bit of heavy cream slowly to the soup, while stirring. Then slowly add the rest of the cream, so as not to affect the temperature of the soup too drastically.
Garnish with a sprinkle of basil, parsley, shaved Parmesan or top with croutons.