Whisk sugar, cornstarch, salt and yolks together in the bottom of a large saucepan, ideally 4-quarts to protect against splattering as it simmers. Drizzle in milk, whisking the whole time so that no lumps form. Place over medium heat on the stove and bring up to a simmer, stirring. Once simmering, stirring, until custard thickens, 4 to 7 minutes. Remove from heat; whisk in butter, vanilla, and rum. Let chill in fridge for several hours or overnight to finish thickening. You’ll have 4 cups custard.