I'll jump in here and let the really experienced folk correct me.
It's not the size of the post but how deep in the ground and how far back you stay it diagonally to the next post. So a couple of H4 treated pine posts deep in the ground and the first post backstayed from top to bottom to the next post with a strong diagonal. IMO
Minimum 600mm deep holes and 900mm better, an 1800 * 1800 Merbau gate would be pretty heavy