Shielding against 14 MeV instant neutron point source In this paper (as found here), an alternate type of fusion bomb design is proposed. This design, however, emits a cone of 14 MeV neutrons upon explosion - only a cone because the neutrons are absorbed by other components in the other directions. While this may be useful for a strategic weapon, it may be a drawback for other uses, such as nuclear pulse propulsion. Even as a weapon, it may not be desirable to activate exposed material.
What would be the best way to stop those neutrons? The most important factor is mass, followed by length of the device. It should also not be too expensive or impractical a material, so Xenon-135 is out, for example.
What I found so far suggests a Fe-56 layer to slow neutrons down to thermal energies, then B-10 to stop them. I am not sure how effective that would be, however, or what better designs could be possible.
 A: To answer the title question "Shielding against 14 MeV instant neutron point source", we start by noting that there is absolutely nothing unusual about shielding 14 MeV neutrons as that is the energy that comes from most commercially available neutron generators.1
You use a combination of moderators and absorbers with a supplementary gamma shield to deal with the absorption photons. 
In the nuclear power industry borated-poly (i.e. plastic doped with boron) is a common choice for the moderator/absorber combination, because it is light; easily formed and machined; not terribly expensive; less of a fire hazard than waxes or oils; and easier to confine than liquids. Borated concrete is also used where better temperature resistance is needed and you can afford the weight.
Chlorine and gadolinium are also good absorbers and are used in places (notice that PVC automatically works as an moderator/absorber). Gadolinium used to be prohibitively expensive, but massive rare-earth refining operations in China have driven the price way down.
The gamma shield can be lead, iron, water, concrete or whatever depending on the space and engineering constraints.

1 As a general matter neutron shielding is a pain in the rear, but it is well understood, and here you are proposing to worry about one of the most common energy regimes encountered in practical applications.
