I think it depends on if the script is continually outputting information, or if it's something you run, it outputs it, then it's done. If it's the latter, you could map a network drive on each machine pointing to the 6th machine, and run that script to output to a file on that 6th machine. You could then write a small batch file on the 6th computer to concatenate those 6 files into one. Something like this would work for that.
@echo off
cd full file path to where the 6 files are located
type file1.txt file2.txt file3.txt file4.txt file5.txt file6.txt > output.txt
exit