Photoshop version 26.10.0.
The weights of the kernel sum up to 841, so the Scale being set to that value should not change the lightness of the image, but it does. The weights are:
{
1, -5, -21, -5, 1,
-5, 25, 105, 25, -5,
-21, 105, 441, 105, -21,
-5, 25, 105, 25, -5,
1, -5, -21, -5, 1
}
FYI, this filter was built from the following separable 5x1 kernel:
{ -1, 5, 21, 5, -1 } with Scale set to 29.
Which works fine when first applied horizontally then vertically.