They typically can take more than 0.1C, but it's usually an additional charging stage. We had a charger that did about 0.3C up to 27.6V and then held at 27.6V and tapered current. Once 0.1C was hit, it marched up to 29.6V - basically a dual-absorption type of charge. It was branded as being a "fast charger."
I'd start with:
29.6V absorption (lower it if your water consumption is too high)
Tail current 40A (charge is done when the battery can't take more than 40A @ 14.8V based on 0.02C typical spec)
27.2V float (27.6V if you have trouble getting to 1.29 SG @ 29.6V)
31.2 - 32.4V equalization
Only add water to max level AFTER fully charged.
Check SG the day after adding water AFTER full charge and float for 2 hours.
If SG drops to 1.255 or cells vary by more than 0.03, run an equalization.
Equalize at 31.2-32.4V (typical range, start at 15.9 and adjust up or down as needed) until SG stops increasing OR battery hits 110°F.
If temp limit is hit, stop equalize and allow battery to cool. Equalize again tomorrow.
Increase or decrease equalization frequency as needed. Fewer and shorter equalizations are better, but I prefer shorter between those two.
Some inverters get really unhappy at >32V, so exercise caution when equalizing.