it may take years to acquire a good resolution 5D spectrum using conventional sampling. Moreover a full 5D spectrum is a huge file (usually in T bytes) and its hard to navigate through such file for analysis. However..you can use time efficient acquisition by employing non-uniform sampling (NUS), also named as random or non-linear sampling. NUS data acquisition omits significant number of sampling points during the experiment and reconstruct them later. Because these methods require data sampled at uniform intervals, a two- to three-fold reduction in acquisition time can routinely be realized for each indirect time dimension that employs non uniform sampling.
For analysis..following may help.
TSAR: a program for automatic resonance assignment using 2D cross-sections of high dimensionality, high-resolution spectra - Springer