In a blender, put tahini, garlic (or shallot), vinegar, soy sauce, ginger, salt and pepper. Blend briefly.
While the blender is running, add oil in a slow stream. Set dressing aside.
In a salad bowl, toss together cucumbers, red pepper, tomatoes, edamame and carrot.
Either dish salad mix into bowls and drizzle a small amount of salad onto each salad or toss dressing into the entire salad mix before dishing.
Sprinkle with sesame seeds before serving. Add sunflower seeds and chives if desired.