A quintic surface having the maximum possible number of ordinary double points (31), which was constructed by W. Barth in 1994 (Endraß). The implicit equation of the surface is
(1)
where w is a parameter (Endraß). The surface can also be described by the equation
(2)
where
(3)
(4)
(5)
(6)
(7)
(8)
(9)
and
(10)
(11)
(12)
(Nordstrand).
The dervish is invariant under the group
and contains exactly 15 lines. Five of these are the intersection of the surface with a -invariant cone containing 16 nodes, five are the intersection of the surface with a -invariant plane containing 10 nodes, and the last five are the intersection of the surface with a second -invariant plane containing no nodes (Endraß). 
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