The sequence is, as it is, not cryptographically secure. Please let us know appropriate references and knowledges on cryptographically secure generators. N A seed of 32-bit is too small. We want a larger space for initial seeds. Seed space of 622 words of 32-bit integers is available.
Every initial value is safe.
Some versions of mt implements the array in a converse way, so carefully read the code if you use other versions.