The map reference lists the available basemaps which can be specified using the keyword:
Valid values are: "streets" , "satellite" , "hybrid", "topo", "gray", "oceans",
"national-geographic", "osm".
You can add other layers as a basemap by finding their REST endpoint and adding them as a tiled layer. There's a example script here.
The Esri Terrain layer seems to be coming from http://services.arcgisonline.com/arcgis/rest/services/World_Terrain_Base/MapServer
The labels seem to be coming from http://services.arcgisonline.com/ArcGIS/rest/services/Reference/World_Reference_Overlay/MapServer
You can add these two layers manually to reproduce the Terrain With Labels basemap combination.