The payload ranges from a simple depthcharger, to a 20 kt of TNT nuclear warhead. It is analogous in function to the now retired Subroc missile carried by US Navy submarines.
http://www.spiritus-temporis.com/ss-n-15/
Until recently, the SS-N-15 was carried by Typhoon, Charlie I/II, Oscar I, Victor I/II, Alfa, Sierra, Mike, and Akula class submarines. It was estimated that four anti-submarine nuclear standoff weapons (either SS-N-15 or SS-N-16) were allocated to each vessel.
In fact, the SS-N-15 and SS-N-16 — the former a nuclear depth charge and the latter a nuclear-tipped torpedo — were considered complementary weapon systems, and both types were jointly assigned to Russian submarines. The weapon is fired from a torpedo tube, then a rocket booster ignites, clearing the surface and transiting to the target's vicinity. The Starfish releases a 200 kiloton nuclear depth charge (the yield is disputed, see in the specifications), which detonates at the optimum depth, likely destroying submarines in a 5-10 kilometer radius.
SS-N-16 Stallion ASW (Vodopod)
Very little is known about the SS-N-16 Stallion. It is a short-range, submarine-launched weapon, very similar to the U.S. ASROC, and also similar to the Russian SS-N-15 Starfish, of which it is an evolutionary improvement. It differs from the SS-N-15 in that after launch and flight, it releases a torpedo instead of a depth charge. The missile is launched via a 66 centimeter torpedo tube, broaches the surface, and uses its solid-fuel booster to fly to the suspected location of the enemy submarine. It then jettisons the booster and the torpedo deploys a parachute, dropping into the sea and seeking its target with a preprogrammed search pattern.
The Type 45 lightweight torpedo (E45-75A) itself has a range of 15 kilometers at 30 knots speed. It has both active and passive sonar. The torpedo has either a 100 kilogram high explosive warhead (termed the Veder by the Russians), or a nuclear warhead of unknown yield (referred to as the Vodopod). The SS-N-16 is carried aboard the Typhoon, Oscar I/II, Victor III, Sierra I/II, and Akula class submarines — unlike the SS-N-15, it can only be fired by the larger 65 centimeter torpedo tube, limiting the submarines which can carry it. The standard estimate is that each such submarine was allocated four anti-submarine nuclear weapons — a mixture of SS-N-15s or SS-N-16s.
http://www.cdi.org/issues/nukef&f/database/rusnukes.html#ssn15starfish