Btw, this contradicts itself and doesn't make sense:"Neomodernism is a philosophical position based on modernism but addressing the critique of modernism by postmodernism, namely that universalism and critical thinking are the two essential elements of human rights and that human rights create a superiority of some cultures over others. Hence equality and relativism are "mutually contradictory". Thus NeoModernism has a moral code."
Are you stating that universalism creates equality, or denies it? I can only assume you subscrbe to the universal ethic, as you subscribe to postmodernism. However, your statement above seems to confuse the issue with the added nature of equality. So, which is it, and, how does universalism or relativism subjugate equality?
Modernism is re-analysis and rejection of all that is to build anew and better.
Postmodernism believes that the result of modernism, what is new and better, is erroneous because new and better can only exist in reference to what was, and a total rejection of what was means it cannot be used a reference. Once you reject the reference point, all becomes universal and relative. Without reference point, or if each is its own reference point, all are then equal.
But if all is relative, then where is morality?
I believe that culture is like the clothes we wear. It suggests who and what we are but cannot define us. What defines us is our biology as human being, living, emotive, and contemplative. That universality of morality has to be based in our biology. Thus culture cannot be a reference point for our morality (which seeks to define how we should interact with each other).