I ran across this piece on Fangraphs:

https://blogs.fangraphs.com/adjusting-t ... un-record/

There have been 14 teams that had at least 5 players hit 25 or more home runs in one season, and the White Sox have two entries on the list:

2002- 5 Paul Konerko / Carlos Lee / Magglio Ordonez / Frank Thomas / Jose Valentin
2012- 5 Adam Dunn / Paul Konerko / A.J. Pierzynski / Alex Rios / Dayan Viciedo

The 2002 team doesn't surprise me, as it was during that era when the White Sox could not seem to score unless they were hitting home runs, but the 2012 team does surprise me. All I remember from that year was the Sox choking in September, and I don't remember them being particularly prolific when it comes to home runs. It's also kind of funny that two of the five guys were Alex Rios and Dayan Viciedo.