358 BC doesn't make any sense
It should be set at least 200 hundred years before that. Most of literally sources on Hercules myth were written in 5th century BC, including Euripides tragedy about him killing his family (written around 420 BC). Ideally this story should be set sometime 600-700 BC during the Greek Dark Ages when cities were ruled by tyrants (before democracy) and when first written accounts on Hercules were made.
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