Henri Morlaye, a developer in Leon, France, and his team built a custom Twilio solution using Elixir with the Phoenix Framework to modernize their company's phone system. They used Twilio's REST API and deployed on Heroku, creating a CRUD app that routes incoming SMS and calls to specific functions. The solution uses embedded structs and PostgreSQL database to store Twilio numbers and phone numbers, allowing for flexibility and control. After sharing it with the local startup community, Henri created a website, `thisnumber.rocks`, to make the solution accessible to others without technical knowledge.