The moon base is "a central component of NASA's Artemis program" and is designed to establish the first sustained presence on the moon.
The rock, named 16 Psyche, potentially has a core of iron, nickel and gold worth $10,000 quadrillion.
The selfie was captured on March 11, the 1,797th day of the rover's mission.
The newly released shots include spectacular views of Earth rising over the lunar horizon.
The astronauts went on a 10-day journey around the Moon and back to Earth in April.
The project began when a geologist friend told her she could buy a piece of lunar meteorite Bechar 003, which she did.
Hubble was launched on April 24, 1990, aboard the Space Shuttle Discovery.
The Artemis III mission is expected to launch in 2027.
The astronauts captured the stunning cosmic shots during their lunar flyby on April 6.
The astronaut appears to be holding the cargo ship between his fingers.
