Here it is...
\d{4}\/([1-9]{1}|0[1-9]|1[0-2])\/([1-9]{1}|[0-2]{1}[1-9]{1}|3[0-1])\s+([0-9]{1}|[0-1]{1}[0-9]{1}|2[0-4]):([0-9]{1}|[0-5]{1}[0-9]{1})\s+
This may seems overwhelming, so here is a walkthrough the expression.
This expression will not only take find the date and time but also ingnore the unrealistic date-time such as 2001/44/44 or 2344/44444/999. It checks for valid date-time only. Invalid date-time will be ignored.Also it will not just check date-time at beginning of line but anywhere in the string wheter the string the single line or multiple lines.
Explanation
1st 4 digits will be year....
\d{4}
followed by '/'...
\d{4}\/
Now, month can be in single digit like 1-9
\d{4}\/( [1-9]{1} )
or in double digits 01, 02, 03, 09 ( remember here if a month start with 0,then its 2nd digit cannot be greater than 9.)
\d{4}\/( [1-9]{1} | 0[1-9]{1} )
or 10, 11, 12 but cannot be greater than 12.
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} )
followed by a '/'
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} ) \/
Now comes days, it can be single digit 1-9
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} ) \/( [1-9]{1} )
or double digit 01, 02, 03, 09, 19 , 29.
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} ) \/( [1-9]{1} | [0-2]{1}[1-9]{1} )
or it can be 30 or 31 but not greater than that.
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} ) \/( [1-9]{1} | [0-2]{1}[1-9]{1} | 3[0-1] )
Now the date part is done. Some space between date and time.
\d{4}\/( [1-9]{1} | 0[1-9]{1} | 1[0-2]{1} ) \/( [1-9]{1} | [0-2]{1}[1-9]{1} | 3[0-1] ) \s+
Now let focus on time part.
Assuming time is based on 24hr format.
Hour can be single digit like 0, 1, 2, 9
( [0-9]{1} )
or double digit like 01, 02, 09, 11, 19
( [0-9]{1} | [0-1]{1}[0-9]{1} )
or 20, 21, 22, 23, 24 but not greater than 24.
( [0-9]{1} | [0-1]{1}[0-9]{1} | 2[0-4]{1} )
followed by ':'
( [0-9]{1} | [0-1]{1}[0-9]{1} | 2[0-4]{1} ) :
Minutes can be in single digit like 0, 1, 2, 9...
( [0-9]{1} | [0-1]{1}[0-9]{1} | 2[0-4]{1} ) : ( [0-9]{1} )
or double digit like 01, 02, 03, 23, 44, 59 (not 60).
( [0-9]{1} | [0-1]{1}[0-9]{1} | 2[0-4]{1} ) : ( [0-9]{1} | [0-5]{1}[0-9]{1} )
followed by some space
( [0-9]{1} | [0-1]{1}[0-9]{1} | 2[0-4]{1} ) : ( [0-9]{1} | [0-5]{1}[0-9]{1} )
\s+
Now combine your Date Regex and Time Regex and you will get
\d{4}\/([1-9]{1}|0[1-9]|1[0-2])\/([1-9]{1}|[0-2]{1}[1-9]{1}|3[0-1])\s+([0-9]{1}|[0-1]{1}[0-9]{1}|2[0-4]):([0-9]{1}|[0-5]{1}[0-9]{1})\s+
NOTE: During the explanation, i have added extra space in the Regex just for better readability.