NZGD2000 + NZVD2009 height - EPSG:9527

WKT

HVCOORDSYS["NZGD2000_and_NZVD2009_height", 
	GEOGCS["GCS_NZGD_2000", 
		DATUM["D_NZGD_2000", 
			SPHEROID["GRS_1980", 6378137.0, 298.257222101]], 
		PRIMEM["Greenwich", 0.0], 
		UNIT["Degree", 0.0174532925199433]], 
	VERTCS["NZVD2009_height", 
		VDATUM["New_Zealand_Vertical_Datum_2009"], 
		PARAMETER["Vertical_Shift", 0.0], 
		PARAMETER["Direction", 1.0], 
		UNIT["Meter", 1.0]]]

WKT2

COMPOUNDCRS["NZGD2000_and_NZVD2009_height", 
	GEOGCRS["GCS_NZGD_2000", 
		DATUM["D_NZGD_2000", 
			ELLIPSOID["GRS_1980", 6378137.0, 298.257222101]], 
		PRIMEM["Greenwich", 0.0], 
		CS[ellipsoidal, 2], 
		AXIS["Latitude (lat)", north, 
			ORDER[1]], 
		AXIS["Longitude (lon)", east, 
			ORDER[2]], 
		ANGLEUNIT["Degree", 0.0174532925199433]], 
	VERTCRS["NZVD2009_height", 
		VDATUM["New_Zealand_Vertical_Datum_2009"], 
		CS[vertical, 1], 
		AXIS["Gravity-related height (H)", up, 
			LENGTHUNIT["Meter", 1.0]]], 
	ID["EPSG", "9527"]]

Data from @esri/proj-codes

{
  "wkid": 9527,
  "latestWkid": 9527,
  "pcsWkid": 0,
  "gcsWkid": 4167,
  "vcsWkid": 4440,
  "macro": "PE_HVC_NZGD2000_NZVD2009_HEIGHT",
  "name": "NZGD2000_and_NZVD2009_height",
  "wkt": "HVCOORDSYS[\"NZGD2000_and_NZVD2009_height\",GEOGCS[\"GCS_NZGD_2000\",DATUM[\"D_NZGD_2000\",SPHEROID[\"GRS_1980\",6378137.0,298.257222101]],PRIMEM[\"Greenwich\",0.0],UNIT[\"Degree\",0.0174532925199433]],VERTCS[\"NZVD2009_height\",VDATUM[\"New_Zealand_Vertical_Datum_2009\"],PARAMETER[\"Vertical_Shift\",0.0],PARAMETER[\"Direction\",1.0],UNIT[\"Meter\",1.0]]]",
  "wkt2": "COMPOUNDCRS[\"NZGD2000_and_NZVD2009_height\",GEOGCRS[\"GCS_NZGD_2000\",DATUM[\"D_NZGD_2000\",ELLIPSOID[\"GRS_1980\",6378137.0,298.257222101]],PRIMEM[\"Greenwich\",0.0],CS[ellipsoidal,2],AXIS[\"Latitude (lat)\",north,ORDER[1]],AXIS[\"Longitude (lon)\",east,ORDER[2]],ANGLEUNIT[\"Degree\",0.0174532925199433]],VERTCRS[\"NZVD2009_height\",VDATUM[\"New_Zealand_Vertical_Datum_2009\"],CS[vertical,1],AXIS[\"Gravity-related height (H)\",up,LENGTHUNIT[\"Meter\",1.0]]],ID[\"EPSG\",\"9527\"]]",
  "description": "NZGD2000 + NZVD2009 height",
  "authority": "EPSG",
  "version": "10.013(13.2.0)",
  "deprecated": "no",
  "areaname": "New Zealand",
  "extent": {
    "slat": -55.95,
    "nlat": -25.88,
    "llon": 160.6,
    "rlon": -171.2
  }
}