How to write this sql?

I have a table:

Date   |    Low     High
------------------------------
...
28       |    1        7
-------------------------
29       |    1        7
29       |    2        3
29       |    4        10
----------------------------
30       |    1        7
30       |    2        3
30       |    4        10
-----------------------------
31       |    0        4
31       |    6        8

I try to extract the "Date" which has the most frequently occured combination of (Low, 
High).

For example, Date- 29, 30 should be extracted since ((1, 7), (2, 3), (4, 10)) occured 
more often than (1, 7) and ((0, 4), (6, 8)).

I can't use 
GROUP BY low, high
since then (1, 7) will be identified as the most frequently occured Low and High. 

If it is not clear, please ask me.

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