After taking into account Daylight Savings Time, I found that there were indeed days that had their twins with respect to time of sunset.
4/1/2005
5:50 Sunrise
18:39 Sunset
12:49 Length of daylight
10/7/2005
6:17 Sunrise
17:39*Sunset
11:22 Length of daylight
*Daylight Savings Time: +1 HR
I found it interesting that the twin for my birthday, October 7th is April 1st-- April Fool's Day.