1In medium microwavable bowl, heat water uncovered on High 30 seconds or until hot. Add mushrooms; let stand 5 minutes or until tender. Drain mushrooms (reserve liquid). Slice any mushrooms that are large. Set aside.
2In 4-quart saucepan, heat oil over medium heat. Add 2 tablespoons of the green onions, the gingerroot, garlic and chile to oil. Cook about 3 minutes, stirring occasionally, until vegetables are tender. Add snow pea pods; cook 2 minutes, stirring occasionally. Stir in mushrooms, reserved mushroom liquid and the remaining ingredients, except lime juice and basil. Heat to boiling; reduce heat. Cover and simmer 10 minutes or until hot. Stir in lime juice.
3Divide soup evenly among 6 bowls. Top servings with basil and remaining green onions.