GLP-1 dual agonists / trigonales GIP or GLP-1 / GIP / glucagon

A peptide compound having the formula (I): R1-Z-R2 (I) wherein Z is a peptide residue having the formula (II) ** ** Formula X3 represents an amino acid residue selected from Gln, Glu and His, X12 represents an amino acid residue selected from Ile and Lys, X14 represents an amino acid residue having a side chain with a -NH2 group, in which the side chain group -NH2 is functionalized by -C (O ) -R5, where R5 may be a moiety comprising up to 50 or up to 100 carbon atoms and optionally heteroatoms selected from halogen, N, O, S and / or P, X15 represents an amino acid residue selected from Glu and Asp , X16 represents an amino acid residue selected from Ser, Lys, Glu and Gln, X17 represents an amino acid residue selected from Arg, Lys, Glu, Gln, Leu, Aib, Tyr and Ala, X18 represents an amino acid residue selected from Ala , Arg, Aib, Leu and Tyr, X19 represents an amino acid residue selected from Ala, Val and Aib, X20 repre ta an amino acid residue selected Pip (S) MeLys, (R) MeLys and (S) MeOrn, X21 represents an amino acid residue selected from Asp, Glu and Leu, X28 represents an amino acid residue selected from Asn, Ala, Aib and Ser, X29 represents an amino acid residue selected from Gly, Thr, Aib, D-Ala and Ala, X40 is either absent or represents Lys, R1 represents NH2, R2 represents the group C of the peptidic compound is selected from OH and NH2, or a salt or solvate thereof, wherein the compound is a receptor agonist GLP-1 and GIP.