The character limit for answers is a deliberate part of the design for Stack Exchange. The model of this site depends on all posts being subject to review by the community for fit, quality, content, etc. The longer a post is, the less amenable it is to review; the character limit is at the outside edge of plausibility for meaningful review by the crowd.
If you're bumping up against the character limit, that's a signal that your post is too long to be an answer that's likely to be useful to the asker and maintainable by the community. Rather than look for a way to circumvent the limit, consider editing your post to ensure that it's only as long as necessary to directly address the question at hand.
In the case of the answer you point to, it seems that you're using the answer as a way to publish a complete blow-by-blow transcript of an interview you conducted. Clearly, the log of who said what when is not essential to directly addressing the question, and probably, much of the content of the interview is also not essential for this purpose. I understand that you want to preserve the interview itself, verbatim, for posterity. I encourage you to do so on a platform that is better-suited for publishing such documents, and to write an answer here that links to that and provides an on-point answer to the question at hand based on it.