1–2. The official description and badge list
The full official description (read via the Roblox games API) documents thermodynamics, radar, eight towns, free vehicles, the Lite version, and the Shift+C camera — and mentions no code, promo, or redemption feature. The official badge API returns nine enabled badges; none is a redemption or code badge, and their texts (Meet Kyoto!, tix., duck., MDS.) describe meetings, hints, and unlocks, never codes.
3–5. Trackers, the wiki, and the store
Web searches for TwisterX codes return coverage of a different game — Twisted, by Willzuh and Siryzm — rather than any TwisterX-specific list, and the major Roblox code trackers publish Twisted code pages, with no TwisterX equivalent. The community Fandom wiki has no codes page. The official Store section carries gamepasses and donations (the Supporter! badge is the donation reward), which is where monetization lives today.