Optimized GIP Peptide Analogues

A glucose-dependent insulinotropic peptide (GIP) analogue consisting of amino acid sequence SEQ ID NO:4:

• 1 2 3 4 5 6 7 8 9 10 11
• X1 - G - T - F - I - S - D - Y - S - I - Aib -
• 12 13 14 15 16 17 18 19 20 21 22
• M - D - K - I H - Q - Q - D - F - V - E -
• 23 24 25 26 27 28
• W - L - L - A - Q - K - Z,
• wherein X1 is any amino acid or omitted;
• or a functional variant thereof, wherein said variant has 1 to 5 individual amino acid substitutions at any amino acid of SEQ ID NO:4,
• wherein the amino acid at position 22 of said functional variant is E and wherein the amino acid at position 11 of said functional variant is 2-Aminoisobutyric acid (Aib),
• wherein Z is a peptide comprising one or more amino acid residues of Exendin-4(31-39) (PSSGAPPPS;
• SEQ ID NO:67) or is omitted, and
• wherein said peptide is modified by attaching one fatty acid molecule directly or via a linker at one amino acid residue at any position of SEQ ID NO:4 or said functional variant thereof, or directly or via a linker at one amino acid residue at any position of Z, if Z is not omitted.