Dimension error by using Patch Embedding for video processing

I am working on one of the transformer models that has been proposed for video classification. My input tensor has the shape of [batch=16 ,channels=3 ,frames=16, H=224, W=224] and for applying the patch embedding on the input tensor it uses the following scenario:

patch_dim = in_channels * patch_size ** 2
self.to_patch_embedding = nn.Sequential(
        Rearrange('b t c (h p1) (w p2) -> b t (h w) (p1 p2 c)', p1 = patch_size, p2 = patch_size),
        nn.Linear(patch_dim, dim),     ***** (Root of the error)******
    )

The parameters that I am using are as follows:

 patch_size =16 
 dim = 192
 in_channels = 3

Unfortunately I receive the following error that corresponds to the line that has been shown in the code:

Exception has occured: RuntimeError
mat1 and mat2 shapes cannot be multiplied (9408x4096 and 768x192)

I thought a lot on the reason of the error but I couldn't find out what is the reason. How can I solve the problem?

from Dimension error by using Patch Embedding for video processing