In a small bowl, juice limes. Add freshly grated ginger, sugar, pepper and salt to bowl. Stir to combine and set aside.
In the food processor bowl, add fresh cranberries, jalapeño pepper, cilantro and green onion. Pulse approximately 5 times to combine.
Place cranberry mixture into a serving bowl and add lime mixture. Stir to combine with a rubber spatula.
Garnish with a slice of lime and serve with tortilla chips.