Accurate interpolations form data in a 12-D tensor

Hi,

I need to interpolate vales of a tensor 12-D: 10x18x3x3x3x3x3x3x5x3x5x5.

The points in the tensor represent a solution of space in those 12 dimensions.

I wonder if there's any tool or function to get internal points interpolated between the ones in the grid, with a sufficient degree of accuracy.

The first coordinate provides the data I need, the other 11 coordinates are inputs that must be introduced.

I tried with 'griddedInterpolant' function but results (with linear and cubic methods) were not so accurate and it needs plenty of memory. Some methods like spline or makima deliver 'out of memory' messages in my PC.

Thanks,

JRR