The word "re-coils" refers to the action of springing back after being released or stretched. The antonyms for this word would be "extends," "stretches," "elongates," or "expands." These words connote a sense of growth or expansion, rather than a recoiling or shrinking back. Another antonym for "re-coils" would be "supports," suggesting a solidity or stability rather than the sudden release of tension. The antonyms for "re-coils" suggest a sense of purposeful action or growth, while also indicating a sense of calm and stability. Ultimately, antonyms can give us a better understanding of the nuances and possibilities of language, opening up new avenues of expression and understanding.