Catalysis of the transfer of a solute or solutes from one side of a membrane to the other according to the reaction: peptide(out) + H+(out) = peptide(in) + H+(in). Catalysis of the transfer of a peptide from one side of a membrane to the other, up its concentration gradient. The transporter binds the solute and undergoes a series of conformational changes. Transport works equally well in either direction and is driven by hydrogen ion movement.