Bashscripts.org

Sorry if it is the wrong section, I am very new to bash scripting so to me it is basics...
I am trying to write a simple program to ping random ip addresses and return successful exit codes to a log file.
I have the base of what I want running I just dont know how to output only successes through a file.
Heres what I have:
#!/bin/bash
for j in {1..255}
do
for i in {1..255}
do
ping -c 1 -W 2 72.1.$j.$i | tee -a outputfile
done
done

This is currently outputting everything to my outputfile but I want to be able to use an if [ $? -eq 0 ]; then command to output it.
Sorry if I ramble and thanks for any help.

If you are interested just in successfully pinged addresses, you can use something along the following lines:

My edits in red.

HTH's