Officer in charge of the incident, Station Manager Paul Riddell, said: "On arrival crews were met with a severe and rapidly developing fire in a top floor flat where multiple rescues were required and aggressive firefighting undertaken.
"Numerous families did a fantastic job of getting to a place of fresh air after they realised they could not escape via the communal corridor. Residents had retreated to their balconies after blocking the bottom of their front doors with towels and blankets to stop smoke entering their properties."
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Sunny this evening, then dry overnight. There is the risk of thundery showers for Kent tomorrow morning, then sunny spells by the afternoon
Sunshine to end the day then dry tonight. Tomorrow will be mostly dry and feeling fresher with the risk of a heavy shower in the afternoon
The video, obtained by ITV News, shows scores of migrants desperately trying to board lorries in a restricted area within the tunnel.