MySQL 8.0

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create table t as
    select timestamp('2020-01-01 23:50:00') as col union all
    select '2020-01-01 23:50:00' as col union all
    select '2020-01-01 23:50:00' as col union all
    select '2020-01-01 23:50:00' as col union all
    select '2020-01-01 23:50:00' as col 
    select t.*,
           (col + interval 10 * row_number() over (order by col) - 10 minute)
    from t;


col
(col + interval 10 * row_number() over (order by col) - 10 minute)


2020-01-01 23:50:00
2020-01-01 23:50:00

2020-01-01 23:50:00
2020-01-02 00:00:00

2020-01-01 23:50:00
2020-01-02 00:10:00

2020-01-01 23:50:00
2020-01-02 00:20:00

2020-01-01 23:50:00
2020-01-02 00:30:00


set @minutes = -10;

update t
    set col = col + interval (@minutes := @minutes + 10) minute
    where col = '2020-01-01 23:50:00';
select * from t


col


2020-01-01 23:50:00

2020-01-02 00:00:00

2020-01-02 00:10:00

2020-01-02 00:20:00

2020-01-02 00:30:00

col	(col + interval 10 * row_number() over (order by col) - 10 minute)
2020-01-01 23:50:00	2020-01-01 23:50:00
2020-01-01 23:50:00	2020-01-02 00:00:00
2020-01-01 23:50:00	2020-01-02 00:10:00
2020-01-01 23:50:00	2020-01-02 00:20:00
2020-01-01 23:50:00	2020-01-02 00:30:00