2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158510We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi-3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound.9 pages, submitted to the European Journal of ComniatoricsCombinatoricsInformation Theorytext