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The Planted Motif Problem is a pattern-finding problem that arises in computational biology. In our previous work, we used Modeling Method has to solve these problems up to a size of (48, 12). For a certain range of problem sizes, the Modeling Method is much faster than other methods described in the literature. However, outside this range, the method is very slow, and this imposes a practical limitation on the range of problem sizes that can be solved by it. Here, we describe a multiprocessor implementation of the Modeling Method, which increases the range of problem sizes that can be solved in practical times. We also present a comprehensive table of running times observed to be taken by the multiprocessor implementation, to solve 52 problems over a range of problem sizes.