Bruno,
INFO has this as just 'Pk 6246' and no mention of an ascent. But it's hardly an independent peak, more like a point on the ridge running down to the Amphu Labcha, no? It does look nice from the east though, I think Nelson on here has a pic?
Tseringma is a name used for several peaks in the Khumbu/Rolwaling and has caused confusion before, with Gauri Sankar, Kang Nachugo etc. I have not seen this peak referred to as that before.
'Puma Dablam' was the name that the first ascentionists of Ombigaichen gave to that peak. Their ascent was not well known before Victor Saunders and Oliver Burr climbed it several years ago. The info is in the Himalayan Database now though.
In the Khumbu, there is not much unclimbed, as you probably know. Officially Khangri is unclimbed, it's the peak just west of Pumori. It's only just an independent peak, not much prominence, and has a nice big rock buttress on the south of it. The east side was attempted by Japanese a few years ago, from the glacier separating it from Pumori.
I think maybe some of the peaks/points between Lobuche West and Nirekha might be unclimbed, but they would have been pretty obvious targets for illegal ascents. They look to have good technical routes on the north side.
The peak south of Malanphulan is also climbed, though it is not well known. I think most of those in the Hunku/Hinku group east of Kangtega etc have been climbed. The HD even has Hongu Chuli as unclimbed, but that is on record climbed by the NZers in the 50s. They climbed a lot of peaks around there back then.
There might be some question over whether or not the highest point of Pigpherago Shar / Likhu Chuli was reached on its first ascent?
I recently went through some of the unclimbed 'peaks' in the Himalayan Index for the Hindu Kush and matched them with Google Earth. Most of them were not really mountains at all. The HI is quite poor for Afghanistan, understandably. There are also a number of errors for Indian areas.
Plenty of good unclimbed peaks in Nepal still though - in the Damodar, Mustang, and the far west.
I have spent far too many hours and days researching unclimbed peaks in the HD, HI, GE etc