# create file with names of duplicates
find /path -type f | xargs -l basename | awk '{arr[$0]++;next} END{for(i in arr){ if(arr[i]>1){print i} }}' > namefile
while read fname
do
   newest=""
  for file in $(find /path -name "$fname")
  do
      [ -z "$newest" ]  && newest="$file"  && continue
      [ $file -nt $newest ] && newest=$file
  done
  echo "$newest"
done < namefile > newest_files