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##Actually, 26 bytes

5Pτr`5Pτ;r)αZ♂M'AOi+♂cΣ`Mi

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Explanation:

5Pτr`5Pτ;r)αZ♂M'AOi+♂cΣ`Mi
5Pτr                        range(26)
    `5Pτ;r)αZ♂M'AOi+♂cΣ     for each element i:
     5Pτ;                     two copies of 26
         r                    range(26) (uses one copy)
          )α                  move to bottom, [i]*26
            Z♂M               zip the lists, pairwise maximum
               'AOi+          add the ordinal of "A" (65) to each element
                    ♂c        character at each ordinal
                      Σ       concatenate
                        i  flatten list and let implicit printing do all the work