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We study the processes e+e−→2(π+π−)π0π0π0γ and 2(π+π−)π0π0ηγ in which an energetic photon is radiated from initial state. The data were collected with BABAR detector at SLAC. About 14 000 4700 events, respectively, are selected a sample corresponding to integrated luminosity of 469 fb−1. invariant mass hadronic final state defines effective e+e− center-of-mass energy. energies range threshold 4.5 GeV. From spectra, first ever measurements e+e−→2(π+π−)π0π0π0 e+e−→2(π+π−)π0π0η cross sections performed. contributions ωπ+π−π0π0, η2(π+π−), other intermediate states presented. observe J/ψ ψ(2S) most these measure branching fractions, many them for time.24 MoreReceived 4 February 2021Accepted 13 April 2021DOI:https://doi.org/10.1103/PhysRevD.103.092001Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article’s title, journal citation, DOI. Funded SCOAP3.Published SocietyPhysics Subject Headings (PhySH)Research AreasParticle interactionsParticle phenomenaParticles & Fields