Disable multiplayer before taking a portal to this system! Otherwise the cabinet may be empty when you reach it.
Euclid portal glyphs to this system: sun sun bird bird | sun bird bird bird | bird sun sun sun
If you treat the portal address as a 12-bit binary number, with sun = 0 and bird = 1, it can be converted to hexadecimal and compressed to 378 hex.
The star system is called "Hiryugai XIX". The glyphs displayed in photo mode in this system may differ slightly from the address above, that's normal for 2-glyph systems as many such systems have multiple valid addresses.
The space station has two multitool cabinets. This post only concerns the REAR cabinet.
Because you only need to have unlocked the first two glyphs to portal to this system, you can access this cabinet almost immediately on a new save file, and that's what makes this find notable.
Structural Spacetime Inverter: do not reload. Go directly to the space station cabinet.
The Hand of the Nexus: reload on New Xentryku, then go to the space station cabinet (if you change the first glyph to a bird, the portal will deposit you on this world, or you can just fly there).
Burning Einoku Engine: reload on Imalvans I4, then go to the space station cabinet (if you change the first glyph to a face, the portal will deposit you on this world, or you can just fly there).
Loop Absorber 4-23K: reload on Luxembl XI, then go to the space station cabinet (if you change the first glyph to a dino / diplo, the portal will deposit you on this world, or you can just fly there).
Zuyevsk's Spacetime Silencer: reload on Lichore, then go to the space station cabinet (if you change the first glyph to a moon, the portal will deposit you on this world, or you can just fly there).
Loop of Ayankar-X: reload on Pact Alpha, then go to the space station cabinet (if you change the first glyph to a balloon / waypoint, the portal will deposit you on this world, or you can just fly there).
Atmosphere Inverter Mark XVII: reload on Ricephe, then go to the space station cabinet (if you change the first glyph to a boat, the portal will deposit you on this world, or you can just fly there).
Glyphs are in textual form above, and also in the second-to-last screenshot.
Every multitool from this cabinet should have the same supercharged slot arrangement, as depicted in the last screenshot.
You may also be interested in other S-class multitool cabinets I've found in other 2-glyph systems:
cabinet #1 in system 0C3: https://www.reddit.com/r/NMSCoordinateExchange/comments/1p6ygmz/
cabinet #2 in system 0F1: https://www.reddit.com/r/NMSCoordinateExchange/comments/1p7putx/
cabinet #3 in system 212: https://www.reddit.com/r/NMSCoordinateExchange/comments/1ph67hv/
cabinet #4 in system 26D: https://www.reddit.com/r/NMSCoordinateExchange/comments/1pjhx7i/
cabinet #5 in system 2FB: https://www.reddit.com/r/NMSCoordinateExchange/comments/1v3zggi/
cabinet #6 in system 378: https://www.reddit.com/r/NMSCoordinateExchange/comments/1v3zkik/