Holy Lance
A Holy Lance is conserved in Vagharshapat (previously known as Echmiadzin), the religious capital of Armenia. It was previously held in the monastery of Geghard. The first source that mentions it is a text "Holy Relics of Our Lord Jesus Christ", in a thirteenth-century Armenian manuscript. According to this text, the spear which pierced Jesus was to have been brought to Armenia by the Apostle Thaddeus. The manuscript does not specify precisely where it was kept, but the Holy Lance gives a description that exactly matches the lance, the monastery gate, since the thirteenth century precisely, the name of Geghardavank (Monastery of the Holy Lance).
Makhaira
The Koine of the New Testament uses the word "makhaira" to refer to a sword generically, not making any particular distinction between native blades and the gladius of the Roman soldier. This ambiguity appears to have contributed to the apocryphal "malchus", a supposedly short curved sword used by Peter to cut off the ear of a slave named Malchus during the arrest of Jesus. While such a weapon clearly is a "makhaira" by ancient definition, the imprecise nature of the word as used in the New Testament cannot provide any conclusive answer.