I have received a 386 mainboard with OPTI chipset. Possibly an early model, since it does not support cache.
The chipset is labeled "82C381P" and "Chipset2".
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This is my best guess, but it looks really close. Could it be a Gigabyte GA-386PS?
This block diagram looks very similar:
I couldn't find the actual manual, but there are some jumper setting and connector details here