Using small circular DNA molecules of different lengths as scaffolds, we successfully synthesised DNA nanotubes consisting of Mao's DNA tensegrity triangle tiles with four-arm junctions (Holliday junctions) at all vertices. Due to the intrinsic curvature of the triangle tile and the consecutive tile alignment, the 2D arrays are organised in the form of nanotubes. Two sized triangle tiles with equilateral side lengths of 1.5 and 2.5 full helical turns are connected by the sticky ended cohesion of a duplex with a length of 2.5 helical turns respectively, and their parallel lozenge tiling lattices were demonstrated by high resolution AFM images, where the former lozenge unit cell has a lattice constant of 13.6 nm, and the latter has a larger lattice constant of 17.0 nm. Modification of the triangle tile with infinitesimal disturbance on side lengths and insertion of one thymine single stranded loop at every vertex resulted in comparably similar nanotubes.