It's an ICC V4.3 hence no bkpt tag, with 37x37x37 3DLUTS (Highest I1Profiler accuracy) 16 bit.
However, the profile curves are very distorted but I1Profiler fits them reasonably well with an average dE2000 of 0.40 measured LAB v AtoB PCS LAB. Normally this is around 0.2. Interestingly, looking only at slices through L*, the a*b* sections don't look awful. But a line chart of the profile indicates multiple large areas of distortion indicating the profile is working very hard trying to linearize the printed colors.
No idea what is causing the distortion. Really bad inks not designed for this printer or mix up of inks. Really quite weird.
Here's a line graph grab from I1Profiler: