sequential hash? reallly weird!
#1
For the sake of the argument, I suggest these hashes:

S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************
S*************F****************

From S to F, it's the same hash that repeats itself 10 times.

From F to the end of the hash, it's a 16 character hash... I don't know what this is.

Really weird.

Some sort of sequential sql increment?

So every 10 increments from S-F it's the same. The other half changes only.
#2
Given the fact that it's exactly 16 asterisks after the F, I'd guess the part between S and F (inclusive) is some fixed salt. Only way to find out is to look at the source (or reverse the binary).