Distance: 8.2 km (3.8 DOC hours) - Unmaintained track - Easy-moderate terrain
Altitude: 144m to 891m. Gain: 884m. Loss: 736m . Gradient: 11 deg (Moderate)
Skills: Alpine weather (2/7) - Streams (2/6)

Unmaintained track (5/9)
Former track, overgrown - markers / ground trail still followable

Primary, mapped (1/5)
Formal route, on maps, principal access to hut or along range / catchment

Moderate (difficulty: 3/5)
Occasional moderate climbs

Easy-moderate (difficulty: 2/5)
Tussock / river-gravel / open bush / cut track

Alpine weather (difficulty: 2/7)
Tramp on open tops, exposed to alpine weather

Streams (difficulty: 2/6)
Small streams, danger only in extreme weather

Unknown (difficulty: 0/7)
Not specified

There may well be snow on Mt Reeves.

Cross the bridge and climb 10-20 metres up the cone track before an unmarked trail heads off to the side. About 10 metres along this trail, you'll see a sign warning of unmanaged hazards. The track drops down under bluffs to Coal Stream (likely uncrossable in flood). Cross and head up the bank on the other side. The track is marked alternatly with yellow triangles, white permolat and old red and orange tin circles.
The track climbs up through the forest with a couple of diversions off to the left before dropping down to join another track North of 668. There is a warning sign at the 'major junction' below the minor diversion warning that the wire bridge over Coal Stream has been removed and a number of coloured permolat markers on the trees in this spot. Carry on and not long after, join the track via Rocky Knob. The track now becomes wider, clearer and is marked with orange DOC markers.
The track continues to climb and comes into open scrub with good views, climbing to Mt Reeves. Look out for the 'geographic centre of the NEw Zealand Continent.
From the summit, the track siddles down a gentle ridge before dropping into teh bush. The travel is good, but gets steeper towards the bottom.

Note: Described in the reverse direction to your journey

From the South end of the hut, head up the trail, climbing steeply. Eventually, the gradient reduces and the bush edge is passed. The open spur climbs genbtly to the summit.
Follow the track down, past the geographical centre of the New Zealand Contintent and back into the bush. At 745, the track markers become yellow, permolat or tin disks. Stay left and follow the trail. At the sign that says the bridge over Coal Stream has been removed, carry on up the hill between the two trees with 3 permolat markers on them to the left of the sign (not the major trail to the right (though I suspect they may meet in a triangale)). About 100m up the trail is another minor junction. Stay left and keep following the trail down, steeply at the bottom, to Coal Stream. Cross the streem then climb up under the bluffs on the trail to join the track up to Cone.