Follow the tutorial/story till you find the downed starship of Artemis. This part of the story hands you an advanced mining laser blueprint for your multi-tool. Install it asap and continue the story until after you land on the anomaly and to the point where Artemis contacts you and you're directed to a holo-tower.
At this point, search for a star system you haven't discovered yet with "dissonance" detected. Scan the planets for dissonance and land on the one you find. Use the advanced mining laser to mine the large purple crystals for radiant shards. Search around for drill like objects that are guarded by corrupted sentinels and destroy them. These give echo locators and inverted mirrors.
If the planet you're on supports life, you should be able to use the echo locator to search for camps. If not, you'll have to search for other planets that allow you to use the echo locators. Once an echo locator leads you to a camp, solve the puzzle at the terminal and use it to locate "dissonance spikes." These are crashed Sentinel Starships. Using radiant shards and inverted mirrors, you can take the hyaline brain from the ships and repair it at a nearby ruin. The hyaline brain itself acts as a map so you use it from your inventory. After repairing it, return to the Sentinel Ship and install three radiant shards, one inverted mirror and the repaired brain. Congratulations, you now have a ship valued at a minimum of 20 millions units.