Storm tide is the storm surge + the tide. King Tides occur soon after moon reaches its perigee within a day of a full or new moon phase.
If you were in New Zealand in the mid '70s you may remember a particularly strong wind-storm that devastated many parts of the eastern South Island. It struck on 1 August 1975, doing a huge amount of damage to pine trees in the Eyrewell and Balmoral forests in particular. To give you an idea of the power of this storm, some of the peak recorded winds and gusts were:
mean wind (including gusts and lulls) strongest gust Christchurch Airport 126 km/h172 km/hTimaru Airport130 km/h165 km/hEyrewell Forest119 km/h170 km/h