This indicates that there is always some higher source for morality and that it is not evolved.
No, it doesn't. It means that there is some type of base morality (a basic set of behaviors) that is pretty much inevitable when you are going to live a social life that depends on group cooperation AND for that group to prosper instead of fall apart and go extinct.
For example, a tribe that is not going to care about murdering their own, about each other's health, etc... is not going to last very long or thrive very well.
Morality, in its simplest form, concerns itself with behavior of individuals in context of group dynamics.
And there simply
are good and bad ways to go about that which will inevitably lead to varying results.
An obvious one is indeed senseless killing as being very detrimental for group dynamics. This is why you will not find a single human tribe / society / civilization in the present, past and future, where no moral value is attached to senseless killing.
This is a behavior that simply can not be tolerated if the goal is for the group to survive and thrive.
This has absolutely nothing to do with any "higher power" or "higher source of morality", but instead simply with how the world works and the reality of group dynamics.
Interestingly I don't think my morals are programmed by culture.
They nevertheless are, though.