There are now 400 watt CMHs.
It is possible, but they for sure are expensive like hell and the only their advantage would be availability of warmer color tones combined with high efficacy and high CRI - these do not mix well with QMH technology. But for colder tones the QMH yield nearly the same efficacy and CRI for higher wattages as CMH, but at lower lamp cost. It is given by the fact, then higher wattages suffice with longer arc (to keep the arc loading sufficiently high), so lower gas pressures, so wall temperature, what quartz might endure.
The issue with warmer tones is, then these need higher sodium content, while sodium is highly reactive with quartz - so even when halides suppress this effect, still some sodium come to contact with the arcube, so it content has to be limited in QMH. But as the ceramic is inert towards the sodium, there is no such limitation with CMH.