Geometrical Progression

Write out a series of whole numbers in geometrical progression with at least $3$ terms, starting from $1$, so that the numbers add up to a square. The common ratio must be strictly larger than $1$.

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For example, an example of a geometrical progression (not the correct one):

$$2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 = 1 + 2 + 4 + 8 + 16 + 32 = 63$$

Give the answer in the form of the smallest square number in which a progression can be written.