Infanticide was banned in the Roman Empire in the late AD 300s, and suicide/euthanasia from the 400s.
Despite their pagan roots, Hippocratic principles were NOT widely practiced until Christianity took root, and Christian thinkers rediscovered Hippocrates, in the late ancient, early medieval period.
In pagan times Hippocratic oath following doctors were a small minority...
For the last 1500 years though, Christianized Hippocratic principles were THE standard medical practice in the Western world.