Hiding Five Colors

Is it possible to place five each of five colored coins in a 5x5 grid, such that each coin cannot "see" any other coins with the same color? Assume there are 4 inches between each grid point and each coin is 1 inch in diameter. Coins can be "seen" along ANY line of sight, unless another coin is in the way.

For example, red coins in the top-left and top-right corners cannot see each other because there are three other coins directly between them. However, a green coin in the top-left corner could see a green coin anywhere in the second row, since nothing is between them.

Source: Original.

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