This polyhedron has fourteen regular faces: six squares, and eight hexagons. Its irregular faces include twelve rhombi, 24 obtuse isosceles triangles, and 48 acute scalene triangles, for a total of 98 faces. It has cuboctahedral symmetry. I made it using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php. The first image shown here has the faces colored by face type, while the second image shows what it looks like in “rainbow color mode.”

Here’s a third one, with the faces colored by number of sides.