This link leads to an excellent summary of what is called ‘New Covenant Theology’. Although, over the years, I read little of NCT when I ‘discovered’ it, I found it reflected fairly closely my own views. I was raised a Dispensationalist and over the years read a fair amount of Covenant Theology. I found neither satisfactory yet felt both had important insights to give. The architects of NCT had a similar journey. It is therefore, perhaps, hardly surprising, that I find their and my biblical framework very similar.
I recommend you read the post.