# [05AB1E](https://github.com/Adriandmen/05AB1E/wiki/Commands), <s>16</s> <s>15</s> 14 [bytes](https://github.com/Adriandmen/05AB1E/wiki/Codepage)

    0ÐIv(2Fy+Š])Äà

Port of [*@tsh*' top Python answer](https://codegolf.stackexchange.com/a/238117/52210).  
-1 byte thanks to *@Neil*, which also allowed a second byte to be saved

[Try it online](https://tio.run/##yy9OTMpM/f/f4PAEzzINI7dK7aMLYjUPtxxe8P9/tKGOAhAZ6CgYxQIA) or [verify all test cases](https://tio.run/##yy9OTMpM/V9Waa@k8KhtkoKSvdJ/g8MTKss0jNwqtY8uiNU83HJ4wX8lvTCd/9HRsTrRhjqGEBJOG@gYgVlGQBYIGkFljHSMdUxiYwE).

**Explanation:**

<!-- language-all: lang-python -->

    0Ð            # Push three 0s, let's call these a,b,c
      I           # Push the input-list
       v          # Pop and loop over each item `y`:
        (         #  Negate the top item
         2F       #  Loop 2 times:
           y+     #   Add the current integer `y` to the top
             Š    #   Tripleswap x,y,z to z,x,y
                  #  (after this inner loop, a,b,c is y+b,y-c,a)
       ]          # Close both loops
        )         # Wrap all three values into a list
         Ä        # Get the absolute values of each
          à       # Pop and push the maximum