The moment morality becomes a 'set' of anything: laws, principles, whatever, it becomes a problem. I would go so far as to say that there is no such thing as moral relativism, because the most basic "relativity" would be the question whether there even IS such a thing as a moral act, rather than what would constitute a moral or immoral act.
Which makes it all the more of a conumdrum, since I would argue that a workable moral relativism is the best model for society, since it would allow every individual the maximum freedom to live as they please.
So the only real answer then is a minimalist moral absolutism, a core morality that everybody does agree on, even if it is just a single rule that everybody respects and applies. Instead of the 10 Commandments, You'd follow the Golden Rule, for example. That, along with the wisdom to apply it correctly.
So here's my minimalist moral absolutism: To my mind, there really is only one absolute, the right to self-determination, to determine your own destiny without interference by others, or WITH others. And while that may sound simplistic and naive, I truly believe it to apply in all situations.
The floor is open for a debate here ...

~Simone.