SpaceX is currently rapidly developing their Starship launch system, including the Starship upper stage, and the Super Heavy Booster that will launch the Starship into orbit. Starship is designed to bring humans to Mars and ensure a long-standing human colony there. Super Heavy BN1 is probably days away from starting its test campaign at the time of writing, and BN2 is expected to be the first Super Heavy to fly.
When will a SpaceX Super Heavy Booster fly?
A Super Heavy is considered to be any vehicle made by SpaceX that is a) BN1 or BN2, b) capable of a similar launch capacity to BN1 and BN2 or greater or c) can launch a Starship to orbit. The booster must reach a height of at least 10 km intact to trigger resolution. A flight with or without the upper stage are both valid for resolution.