Danny Heater set the national high school record for most points scored in a basketball game with 135 points on January 26, 1960. Billy Baller was able to break this record last Friday night. He made 7 free throws worth 1 point each as well as multiple two point and three point baskets. He made more two point shots than three point shots. What is the minimum number of two point shots that he could have made during yhe game?