Template-fixed β-hairpin peptidomimetics of the general formula (I) wherein Z is a template-fixed chain of 4 α-amino acid residues which, depending on their positions in the chain (counted starting from the N-terminal amino acid) are Gly, or of certain types which, as the remaining symbols in the above formula, are defined in the description and the claims, and salts thereof, have the property to agonize or to antagonize GPCR receptors such as CXCR3, urotensin and CCR10. They can be used as medicaments to treat or prevent diseases such as cardiovascular disorders, dermatological disorders, endocrine system and hormone disorders, metabolic diseases, inflammatory diseases, neurological diseases, respiratory diseases, haematological diseases and cancer. These β-hairpin peptidomimetics can be manufactured by a process which is based on a mixed solid- and solution phase synthetic strategy.