By Yury Garcia and Alexandra Valencia GUAYAQUIL/QUITO (Reuters) -Gunmen with explosives stormed a TV station on-air in Ecuador on Tuesday during a wave of violence around the nation that prompted President Daniel Noboa to name 22 gangs as terrorist organizations to be hunted by the military. Police eventually rescued the TV staff and arrested the 13 men who burst into TC’s studio during a live broadcast with long-range guns, grenades and dynamites, according to witnesses in the coastal city of Guayaquil. Elsewhere in Ecuador, at least seven police officers were kidnapped and there were several…