We study projective manifolds with degenerate secant varieties under a
ssumptions that the secant defect is two and that the Gauss maps of se
cant varieties have the largest images. In particular we classify 7-di
mensional projective manifolds with 13-dimensional degenerate secant v
arieties whose Gauss maps have 10-dimensional images. We also determin
e Del Pezzo fibrations over curves with smallest embedded codimension
in the case that the degree of a general fiber is three or four.