I'm not sure that the part is actually called a syncro spring. I don't seem to understand what your talking about.

Is the part your looking for visible in this picture?

#8 23623-PS1-315 SLEEVE SET (3-4) 1 1990 Acura INTEGRA $214.38
#9 23626-PS1-315 SLEEVE SET (5) 1 1990 Acura INTEGRA $157.13