in OO programming, is there some conceptual pattern, ideas, about handling multiple errors?

for example, i have a method that performs some checks and should return an error message for each error found

['name is too short', 'name contains invalid unicode sequences', 'name is too long']

now, should i use an array of exceptions (not thrown exceptions)?

or something like this is better:

class MyExceptionList extends Exception{
  public Void addException(Exception e){}
  public Array getExceptions(){}
}

any theory behind this argument will be appreciated!

(this isn't a request about a specific programming language, but a pure theoretical one)

thank you in advance