You should never store multiple values in a single column in a database. That is one of the first things that you split out into separate records when normalising a database.
The best alternative is to have one column for the values but have a separate record for each. That way you can add another hundred c heckboxes to the form and not have to change the database structure.
If it is 100% guaranteed that the checkboxes cover all possible options and that they will never need to change then you could set up a separate column for each.
The main reason for never placing multiple values in one field in a database is that it does away with your ability to make simple queries on the database to extract information. It also makes defining the size of the field difficult. As a separate column you only need to store a single value of (eg. 0 or 1) to identify what the value is. With multiple values in the one field you don't know how big a field you will need to hold all the values (particularly if you need to add a few more values later).
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