Dear Adrian,
Thanks much for your comment! That's quite helpful.
In fact, we are only interested in HOGs as we are using OMA as a quick way to determine gene gains, losses and duplications of a subset of genes of interest in all 5 taxa we are investigating.
Note that Brachyury is a gene (also known as "T"), not a genome. In this case, all examples of Brachyury that are incorrectly grouped are complete and verified. We found that lowering the LengthTol parameter to 0.4 groups the gene correctly in some taxa, but owing to a very short match between two taxa of our study, it will only be grouped together when the LengthTol is as low as 0.35. The question becomes: how crucial is LengthTol to the correct formation of HOGs? Did you ever find a lot of cases where short spurious perfect matches misplaced a gene as a in-paralog or ortholog?