Lake Umayo and a Sillustani burial tower 35 kms (21 miles) from Puno, visited by taxi.
The pre-Inca Sillustani funeral ground and associated ruins of the Aymara culture – who were conquered by the Incas – are not much of an attraction compared to the magnificence of Inca remains or even Spanish colonial architecture, but if you’re in Puno and have done the obligatory Lake Titicaca cruise then a half a day drive around the Altiplano is worth it, but more for the desolate mountain-framed plains than for the Sillustani’s crumbled glory – but don’t stay over in Puno just for this unremarkable sight.
Sillustani takes about 45 minutes to reach from Puno. Professional tours often stop off at local houses on the way back to see how locals live but many tourists find this pay-to-intrude just rude. A good English-speaking taxi driver could probably offer a more flexible trip but make sure you have real communication before setting off into the big nowhere.