Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;\lambda)

We construct a tilting object for the stable category of vector bundles on a weighted projective line X of type (2,2,2,2;\lambda), consisting of five rank two bundles and one rank three bundle, whose endomorphism algebra is a canonical algebra associated with X of type (2,2,2,2).