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A problem formulation which I modified slightly can be found in [frutos1997demonstration]. This reference also describes the construction of a solution of size 108.

[frutos1997demonstration]
Anthony G Frutos, Qinghua Liu, Andrew J Thiel, Anne Marie W Sanner, Anne E Condon, Lloyd M Smith, and Robert M Corn
Demonstration of a word design strategy for DNA computing on surfaces
Nucleic Acids Research 25(23), 1997