MySQL 5.6

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CREATE TABLE `table` (id SERIAL PRIMARY KEY, `datetime` DATETIME)
INSERT INTO `table` (`datetime`) VALUES
('2019-11-28 10:00'),
('2019-11-28 11:00'),
('2019-11-28 12:00'),
('2019-11-28 12:00'),
('2019-11-28 12:00'),
('2019-11-28 12:00'),
('2019-11-28 12:00'),
('2019-11-28 13:00'),
('2019-11-28 14:00')
SELECT * 
FROM `table`


id
datetime


1
2019-11-28 10:00:00

2
2019-11-28 11:00:00

3
2019-11-28 12:00:00

4
2019-11-28 12:00:00

5
2019-11-28 12:00:00

6
2019-11-28 12:00:00

7
2019-11-28 12:00:00

8
2019-11-28 13:00:00

9
2019-11-28 14:00:00


UPDATE `table` t, ( SELECT MIN(id) AS N
                    FROM `table`
                    WHERE `datetime` = '2019-11-28 12:00' ) x
SET t.`datetime` = t.`datetime` + INTERVAL (t.id - x.N) MINUTE
WHERE t.`datetime` = '2019-11-28 12:00'
SELECT * 
FROM `table`


id
datetime


1
2019-11-28 10:00:00

2
2019-11-28 11:00:00

3
2019-11-28 12:00:00

4
2019-11-28 12:01:00

5
2019-11-28 12:02:00

6
2019-11-28 12:03:00

7
2019-11-28 12:04:00

8
2019-11-28 13:00:00

9
2019-11-28 14:00:00

id	datetime
1	2019-11-28 10:00:00
2	2019-11-28 11:00:00
3	2019-11-28 12:00:00
4	2019-11-28 12:00:00
5	2019-11-28 12:00:00
6	2019-11-28 12:00:00
7	2019-11-28 12:00:00
8	2019-11-28 13:00:00
9	2019-11-28 14:00:00