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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.

[DBLP:conf/ijcai/Codish0L17]
Michael Codish, Michael Frank, and Vitaly Lagoon
The DNA Word Design Problem: A New Constraint Model and New Results
Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, {IJCAI} 2017, Melbourne, Australia, August 19-25, 2017, 585–591, 2017

[tulpan2006effective]
Dan C Tulpan
Effective heuristic methods for DNA strand design
Ph.D. thesis, University of British Columbia 2006

[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), 4748–4757, 1997