Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Always Draw
PBD_CONSTRAINT_TAG_ALWAYSDRAW
Parameter: Search Radius
PBD_CONSTRAINT_TAG_RADIUS
Parameter: Max Connections
PBD_CONSTRAINT_TAG_MAXCONNECTIONS
Parameter: Point Restriction
PBD_CONSTRAINT_TAG_POINTSELECTION
Parameter: Same Object
PBD_CONSTRAINT_TAG_SAME_OBJECT
Parameter: Other Objects
PBD_CONSTRAINT_TAG_OTHER_OBJECTS
Parameter: Mode
PBD_CONSTRAINT_TAG_EXCLUSION_MODE
Parameter: Tags
PBD_CONSTRAINT_TAG_EXCLUDE_OBJECTS
Parameter: Update Live
PBD_CONSTRAINT_TAG_GENERATE_LIVE
Parameter: Create
PBD_CONSTRAINT_TAG_CREATE
Parameter: Clear
PBD_CONSTRAINT_TAG_CLEAR
Parameter: Stretchiness
PBD_CONSTRAINT_TAG_STRETCHINESS
Parameter: Target Length
PBD_CONSTRAINT_TAG_TARGETLENGTH
Parameter: Tearing
PBD_CONSTRAINT_TAG_TEAR
Parameter: Mode
PBD_CONSTRAINT_TAG_TEAR_MODE
Parameter: Tear Distance
PBD_CONSTRAINT_TAG_TEAR_ABSOLUTE_DISTANCE
Parameter: Tear Past
PBD_CONSTRAINT_TAG_TEARPAST