A wheat variety designated HAW12-156, the plants and seeds of wheat variety HAW12-156, methods for producing a wheat plant produced by crossing the variety HAW12-156 with another wheat plant, and hybrid wheat seeds and plants produced by crossing the variety HAW12-156 with another wheat line or plant, and the creation of variants by backcrossing, mutagenesis or transformation of variety HAW12-156 are disclosed. Methods for producing other wheat varieties or breeding lines derived from wheat variety HAW12-156 and to wheat varieties or breeding lines produced by those methods are also provided.
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