To a high-speed blender, add the chopped cucumber, avocado flesh, defrosted peas, lemon juice, red wine vinegar, olive oil, coconut milk, salt, pepper, water, shallot, garlic clove and basil and blend on high until smooth and creamy.
Adjust if texture is too thick with more water; another half avocado or more coconut milk for creaminess; or, more lemon juice for acidity.
Serve immediately at room temperature garnished with salt, pepper, fresh basil and defrosted frozen peas. Or, store in the refrigerator for up to 1 day and serve cold with the same garnishes.
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Notes
This gazpacho is best enjoyed the day it's made but you can definitely prepare it ahead of time - make it in the morning and store in the fridge for brunch, lunch or dinner!
If you don't have red wine vinegar you could try white wine vinegar or apple cider vinegar.
Other herbs you could use as a topping are dill or parsley or even try some pea shoots.