Can anyone tell me at what time period did the Phoenicians flourish?

The Phoenicians existed between about 1600 BC to 300 BC. They developed a mive maritime economy along the West coast of modern day Turkey. The height of their power was (VERY vaguely) around 1000BC, as their naval power and culture zenithed. It declined somewhat with the gorwth of Hellenistic Greece and was eventually annexed into the Persian empire under Cyrus.