The crystal structure of Pb21[Si7O22]2[Si4O13] has been solved on crystals grown by crystallization from melt. The compound is hexagonal, P63/m, a = 9.9244(5), c = 34.2357(16) Å, V = 795.28(6) Å3, R1 = 0.042 for 3361 unique observed reflections. The structure contains five symmetrically independent Si sites tetrahedrally coordinated by O atoms. The Si1O4, Si3O4, and Si4O4 tetrahedra share corners to form branched heptameric [Si7O22]16− units, whereas the Si2O4 and Si5O4 tetrahedra form the tetrameric [Si4O13]10− anions. The structure contains six symmetrically independent Pb sites with the PbOn coordination polyhedra distorted due to the stereochemical activity of the lone electron pairs. The structure can be described as a stacking of layers of the two types, A and B. The A-type layer contains [Si7O22]16− units, Pb1, Pb2, Pb3, and Pb4 sites, whereas the B-type layer contains [Si4O13]10− anions, together with Pb5, Pb6, and Pb6A sites. Stacking of the layers can be described as a sequence ...AA′BAA′B..., where A and A′ denote A layers with opposite orientations of the tripod-shaped silicate heptamers. The crystal structure of Pb21[Si7O22]2[Si4O13] has many similarities to that of hyttsjöite, which contains the same layers consisting of tripod-shaped [Si7O22]16− anions. In both title compound and hyttsjöite, the anions are stacked together in such a way that ellipsoidal cavities with dimensions of ca. 10 × 6 × 6 Å3 are created. The cavities are occupied by the ClPb6 octahedra in hyttsjöite and by “empty” Pb6 octahedra in Pb21[Si7O22]2[Si4O13]. Analysis of structural and chemical complexity in the PbO-SiO2 system indicates that the most chemically complex phases (in terms of complexity of relations between chemical components) appear to be the most complex from the structural point of view as well. The title phase is the most structurally and chemically complex phase in the system. Structural organization of crystalline phases in the PbO-SiO2 system can be described as controlled by the Pb:Si ratio. For the phases with Pb:Si <2, their structures contain Pb2+ ions and silicate anions. For the phases with Pb:Si <2, the structures contain “additional” O atoms, i.e., atoms that are not bonded to Si. These atoms form OPb4 tetrahedra, which are the next strongest structural subunits in the structure after silicate anions. The structures of the phases with Pb:Si <2 can therefore be described as based upon silicate anions and polynuclear cationic units consisting of edge- and corner-sharing OPb4 tetrahedra.