Significance of parameters in Tiny Mersenne Twister algorithm
You can generate parameters for the PRNG using the provided program tinymt32dc. You should generate these parameters once and for all for each application. Each time you call the PRNG, you use the same parameters but a different seed. The reason that you don't want to vary the parameters is that generating them is (apparently) time consuming, while initializing the PRNG from just the seed is designed to be quick.

There might be some constraints on these parameters, but since you're not the designer of TinyMT, you're not aware of them. Instead, you should just use the provided program that generates legal parameters.