Programs are made with code, so they're ultimately the same thing; It's just a different choice of words, which might give some insight on how the speaker perceives the activity of coding/programming, but on a technical level, there is no real difference.
Personally, I prefer Programmer, because it shifts the emphasis to the logic, while coding makes it sound more like it's just about pressing keys on a keyboard.
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Programs are made with code, so they're ultimately the same thing; It's just a different choice of words, which might give some insight on how the speaker perceives the activity of coding/programming, but on a technical level, there is no real difference.
Personally, I prefer Programmer, because it shifts the emphasis to the logic, while coding makes it sound more like it's just about pressing keys on a keyboard.