Is there an example of two complex projective complete intersections that are diffeomorphic but have different Hodge numbers?

Edit: as written by Daniel Roughlan in the comments below, complete intersections with the same multidegree are diffeomorphic (apparently this result is attributed to R. Thom). And we know that he multidegree determines the Hodge numbers see the appendix of F. Hirzebruch's book "Topological methods in algebraic geometry".

Thus we need to find two diffeomorphic complete intersections with different multidegrees such that their Hodge numbers are different.