Definitely not. It involves inappropriate and private sexual matters that violate social ethics and good taste. There are so many other positive things to talk about like hobbies, achievements, and cultural experiences.
I'm not sure specifically what that 'cheating with big dick story' is as it could be something very specific in a particular context or even just a made - up or inappropriate title. It's not something that represents positive or ethical behavior if it involves cheating in a relationship context.
Sharing such a story is completely inappropriate and unethical. It involves vulgar and inappropriate sexual content that goes against moral and social norms.
This kind of description is not suitable for public discussion. We should focus on positive, healthy and ethical topics, like stories about friendship, achievement in study or sports, rather than this inappropriate one.