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Combine lime juice, vinegar, garlic, lime rind, salt and chilies in a small bowl. Whisk in oil to combine and emulsify.
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In a medium sized bowl break canned tuna into medium sized chunks with a fork. Add shopped shrimp, coriander and dressing, tossing to combine. Put in fridge for a few hours or overnight to marinate.
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When ready to serve place shredded lettuce on a plate. Halve, remove pit, and peel avocados (you can leave the peel on if they will be packed in a lunch to keep the avocado from browning). Stuff cavity with seafood mixture and place on top of shredded lettuce.
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Serve with additional coriander and a lime wedge.