How to store a vector of different templates

[relationer]

Hello, I want to store a vector of classes with different template arguments.
For example, let's say I have a class BaseType<T, K>, and I want to write something like this:

  template<typename T, typename K>
  class BaseType
  {
      // ***
  }
  
  template<typename T, typename K>
  class DType : BaseType<T, K>
  {
      // ***
  }
  // ***
  std::vector<BaseType> v = { };
  v.push_back(DType<int, double>());

But, obviously, this is incorrect, because I can't store a vector of unspecified templates.
I tried to define a vector like this:

  std::vector<BaseType<void*, void*>>

But then I need to use reinterpret_cast to set values to a such vector, and I need to use pointers as templates arguments of derived classes.

And another simple way to solve this problem (not to define BaseType as a template) doesn't work too, because I need a virtual method with template arguments in BaseType, and I can not define a virtual template function.

So, how can I solve this?