
Samsung Galaxy Core
The latest firmware for Samsung Galaxy Core (SM-G386T1) is G386T1UVU1AQD2 with Android 4.4.2 (KitKat), released on April 20, 2017 for 1 region (CSC). Every official firmware build for SM-G386T1, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/G386T1UVU1AQD2
All 5 builds in our database run Android 4.4.2 (KitKat). The newest build, G386T1UVU1AQD2, was released on April 20, 2017. No new build has appeared for 115 months, so regular updates for this model have most likely ended.
Specifications of SM-G386F, a regional variant of the same device. Chipset and SIM lines are left out: they can differ by region.

SM-G386W

SM-G3819

SM-G388F

SM-G3858

SM-G390W
The newest firmware for SM-G386T1 runs Android 4.4.2 (KitKat): build G386T1UVU1AQD2, released on April 20, 2017.
The latest build for SM-G386T1, G386T1UVU1AQD2, was released on April 20, 2017 (9 years ago).
SM-G386T1 has had no new firmware for 115 months, so regular updates have most likely ended.
Yes, all firmware files for SM-G386T1 are 100% official, original, and obtained directly from Samsung servers.
To flash SM-G386T1, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-G386T1.