Bring 3 quarts water to a boil in a large saucepan over high. Add Kamut and 1 tablespoon salt. Reduce heat to medium-high; simmer, stirring occasionally, until Kamut is puffed and tender but slightly chewy, 1 hour to 1 hour and 15 minutes. Drain and spread in an even layer on a large baking sheet. Let cool 15 minutes.
Step 2
While Kamut cooks, whisk together vinegar, oil, garlic, and hot sauce in a large bowl. Add shrimp, cucumbers, and mini peppers; toss well. Cover and refrigerate up to 30 minutes.
Step 3
Add cooled Kamut, tomatoes, and onion to shrimp mixture. Season with black pepper and remaining 1 teaspoon salt; toss well. Gently fold in feta, mint, and basil just before serving.