'Newness' in the Bible

We have therefore been buried with Him through baptism into death, so that just as Christ was raised from the dead through the glory and power of the Father, we too might walk habitually in newness of life [abandoning our old ways].

But now we have been released from the Law and its penalty, having died [through Christ] to that by which we were held captive, so that we serve [God] in the newness of the Spirit and not in the oldness of the letter [of the Law].