Who was Hammurabi, and when was his Code discovered?

Hammurabi was the sixth king of the First Babylonian dynasty of the Amorite tribe, reigning from c. 1792 BC to c. 1750 BC. He was preceded by his father, Sin-Muballit, who abdicated due to failing health. During his reign, he conquered Elam and the city-states of Larsa, Eshnunna, and Mari. The code of Hammurabi was discovered in 1755–1750 BC (middle chronology).

helped the plantation economy to grow

Explanation:

the cotton gin was a boom for the slave trade (not the last one) and made sure that the south became a cotton kingdom (not industrialized).