Comparing adjacent rows, part 1

I am trying to create a SELECT statement that will take a date/time field, compare the second record with the first record, select it if the second record's time is greater than the first record's time by 15 minutes or more, then do the same comparison for the next record and its previous record through the entire result set.
That

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is, with this data:

This was first published in April 2004

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