Find Top Ten Values And Return Value From Another Row?

I have a huge data base (daily temperatures dating back to 1872), but for simplicity I have limited the values to just a month for this question. What I want to do it list the ten warmest temperatures and then return the date in which it occurred. I am using the following LARGE function to get the ten warmest temperatures (Column B - high temperatures).

=LARGE($B$2:$B$31,$D2)
Column B = High Temp in Data Table
Column D = Rank in Results Table

This works great. However when I use the following Index function to get the date in which it occurred (Column A - Date), it keeps returning the first date in which it occurred when there are multiple occurrences of the same temperature.

=INDEX($A$2:$A$31,MATCH(LARGE($B$2:$B$31,$D2),$B$2:$B$31,0))

Column A = Date in Data Table
Column B = High Temp in Data Table
Column D = Rank in Results Table

In some cases, I have more than 2 occurrences of the same temperatures. For example, the high temperature of 23 degrees occurs 3 times during the month (1/4/2013, 1/11/2013, and 1/12/2013), but only the first one 1/4/2013 shows up in my results table. I would like the other dates to show up. These tables are listed below.

Data TableResults Table
DateHigh TempRankHigh TempDate
1/2/201311271/5/2013

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