"It was really distressed and when it came back into shore there was blood coming out of its mouth."
Minke whales were "quite fragile" and did not cope well with long periods on land, said Ms Smith.
A karakia (prayer) was said before the whale died and it was later buried near the beach.
Whales used sonar for direction but sometimes became confused when nearing shallow beaches with few features for the sonar to bounce off and headed towards shore by mistake, Ms Smith said.