Pre-heat oven to 400°F.
Line a baking sheet with parchment paper.
In a large bowl or the bowl of your food processor, blend together flour, sugar, salt, baking powder and soda.
Add cold butter slices and cut into flour or pulse until small clumps form.
Add half and half, lime juice, lime zest, and egg; mix or pulse until just combined.
If using frozen blackberries, add to the dough and pulse with food processor 2 times until combined.
If using fresh blackberries, knead into dough with clean hands.
Form dough into a large disk and slice into 6 – 8 wedges.
Carefully separate wedges and place on baking sheet.
Place in pre-heated oven and bake scones for 12 minutes or until the edges begin to turn golden brown.
Remove from oven and cool completely before icing.