  We investigate the production of vector-like quarks with charge $5/3$ at the
LHC and their subsequent decays into new singly or doubly charged bosons plus a
heavy quark (top or bottom). In particular, we explore final states with
same-sign di-leptons (electron or muon pairs), with the leptons coming from the
decay of the new bosons and, in the case of production of singly charged
bosons, from top quarks as well. These processes are predicted by classes of
models based on extensions of the gauge group of the Standard Model, such as
the 331 Model, where the electroweak symmetry is described by $SU(3)_L\times
U(1)_X$, $X$ being a new abelian charge. For this purpose, a CMS search for
vector-like partners with charge 5/3 decaying into $Wt$ is recast to obtain
model-independent bounds and projected reaches at future luminosity stages of
the LHC. The results are then interpreted as mass bounds for the new particles
predicted in the 331 Model and as a constrain on the scale of its spontaneous
symmetry breaking. The complete set of model-independent results are provided
as recast efficiencies, to allow for reinterpretation in different scenarios.
