The Weibullian distribution is a good one. Depending on your needs (not much information is provided in the question), you can also try the translated Weibullian distribution, Rayleigh distribution, Frechet distribution, Erlang distribution, or the gamma distribution (depending on how platykurtic you want it to be).

You can use Matrix Variate Bingham antipodal symmetric distribution model or for a simple generalized Matrix Variate Angular Central Gaussian distribution, which is antipodal symmetric distribution model. For a vector case you may use Von Mises Fisher distribution defined on unit hyper sphere.