Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Always Draw
PBD_CONSTRAINT_TAG_ALWAYSDRAWParameter: Search Radius
PBD_CONSTRAINT_TAG_RADIUSParameter: Max Connections
PBD_CONSTRAINT_TAG_MAXCONNECTIONSParameter: Point Restriction
PBD_CONSTRAINT_TAG_POINTSELECTIONParameter: Same Object
PBD_CONSTRAINT_TAG_SAME_OBJECTParameter: Other Objects
PBD_CONSTRAINT_TAG_OTHER_OBJECTSParameter: Mode
PBD_CONSTRAINT_TAG_EXCLUSION_MODEParameter: Tags
PBD_CONSTRAINT_TAG_EXCLUDE_OBJECTSParameter: Update Live
PBD_CONSTRAINT_TAG_GENERATE_LIVEParameter: Create
PBD_CONSTRAINT_TAG_CREATEParameter: Clear
PBD_CONSTRAINT_TAG_CLEARParameter: Stretchiness
PBD_CONSTRAINT_TAG_STRETCHINESSParameter: Target Length
PBD_CONSTRAINT_TAG_TARGETLENGTHParameter: Tearing
PBD_CONSTRAINT_TAG_TEARParameter: Mode
PBD_CONSTRAINT_TAG_TEAR_MODEParameter: Tear Distance
PBD_CONSTRAINT_TAG_TEAR_ABSOLUTE_DISTANCEParameter: Tear Past
PBD_CONSTRAINT_TAG_TEARPAST