Blue whale* The biggest terrestrial carnivores are Tyrrannosaurus rex (5.4 to 10 metric tonnes), Tyrannosaurus mcraeensis (9.1 metric tonnes), Deinosuchus hatcheri (5.5 to 8.5 metric tonnes in large individuals), Deinosuchus scwimmeri (8.5 metric tonnes), with Spinosaurus aegypticus being 8.1 metric tonnes. I can't find up to date weights for Purussaurus, but paleontologists say it's heavier than Deinosuchus.
Remember, all organisms are measured by weight. The heaviest is the biggest.