Starting from Europe, is the following the general routing that will accumulate most miles:

Europe-Africa-Asia-Australia-N America-Europe?

Actually, I would like

Europe-Australia-Asia-Africa-N America-Europe

But there seems to be no legal way to go from Africa to N America (at least from South Africa) because it would be necessary to go through Europe, Australia, or Asia again. Is there some way to use the Accra/Lagos exception to achieve this routing?