Place the potatoes in a large pot and cover with water. Add the salt, cayenne, and garlic cloves. Bring to a boil and lower to a simmer until fork tender. Drain and set aside to let cool until just warm.
In a large bowl combine the remaining ingredients and mix well. Allow to sit and macerate.
Once cooled partially, add the potatoes and chop roughly with a knife and fork until chunky. Stir well to soak up the dressing. Taste and add more of any of the ingredients as needed. Garnish with basil and paprika and serve warm!