Logic Masters Deutschland e.V.

Rules:
Normal Sudoku rules apply.

Two of the 3x3 boxes have their odd digits marked in grey. In each remaining box the odd digits form the shape of a unique pentomino.

7 of the 8 possible pentominos shown below will be used in the grid, and the remaining unused pentomino contains the value of the "??" diagonal.

Clues outside the grid indicate the sum of the digits on the diagonal. Duplicate digits are allowed.

Clarifications / Errata:
Rotations and Reflections of the shown pentominos are allowed, but each labeled shape can only be used once.

The only pentomino value that matters is in the unused shape, the numbers in the used pentominos are unimportant.

This is probably harder than the first puzzle.