I want to update multiple date field rows into one single row

I have a table as shown below. Here is a sample table with multiple records. In Jan, March, April and then in June there are 3 records.

PeriodID    Period_From Period_To   Member  FirstName   LastName    CodeID
1            1/16/2014  1/28/2014   151       Robert    Flow        TWIT
2            3/7/2014   3/20/2014   151       Robert    Flow        TWIT
3            4/3/2014   4/10/2014   151       Robert    Flow        TWIT
4            6/2/2014   6/4/2014    151       Robert    Flow        TWIT
5            6/6/2014   6/8/2014    151       Robert    Flow        TWIT
6            6/13/2014  6/19/2014   151       Robert    Flow        TWIT

So for Jan, March and April Date-Periods we treat as separate Periods/records. and for June I need only 2 records if the 'Period_From' is > 2 days of Previous record (i.e from 'Period_To') then we consider as separate record else take the Period_From from 1st record and Period_To from 2nd record and update in 1 single row.

I want solutions as below:

PeriodID    Period_From Period_To   Member  FirstName   LastName    CodeID
1            1/16/2014  1/28/2014   151       Robert    Flow        TWIT
2            3/7/2014   3/20/2014   151       Robert    Flow        TWIT
3            4/3/2014   4/10/2014   151       Robert    Flow        TWIT
4            6/2/2014   6/8/2014    151       Robert    Flow        TWIT
6            6/13/2014  6/19/2014   151       Robert    Flow        TWIT