Dye conjugates of template-fixed β-hairpin peptidomimetics of the general formula (I) wherein Z is a template-fixed chain of 14 α-amino acid residues which, depending on their positions in the chain (counted starting from the N-terminal amino acid), are Gly, or Pro 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 CXCR4 antagonizing properties, and are useful for cancer therapy; diagnostic imaging; for detection of tumors and other abnormalities; for photoacoustic tumor imaging, detection and therapy; and for sonofluorescence tumor imaging, detection and therapy. The various dyes forming part of these conjugates are useful over the range of 300-1200 nm, the exact range being dependent upon the particular dye. These dye conjugates of β-hairpin peptidomimetic can be manufactured by processes which are based on a mixed solid- and solution phase synthetic strategy.