Does the B787 (Dreamliner) operate with higher cabin pressure?
According to this document by Boeing:

Altitude: How High Is Just Right?
Today's airplanes are pressurized to a typical cabin altitude of 6,500
to 7,000 feet (1,981 – 2,133 m), with a maximum certification altitude
of 8,000 feet (2,438 m). Because the advanced composite materials that
make up the 787’s fuselage do not fatigue, the 787 can be pressurized
more, which allows for lower cabin altitude levels.
Studies at Oklahoma State University explored the effect of altitude
on passengers to determine optimum levels. After testing at various
altitudes, it became clear that lowering the cabin altitude to 6,000
feet (1,830 m) provided meaningful improvements. Lowering the cabin
altitude further, however, provided almost no additional benefit.
Based on that knowledge, Boeing designed the 787 to be pressurized to
a maximum cabin altitude of 6,000 feet.

So if we assume a constant altitude of 43,000 (the 787's service ceiling1), we would get a maximum differential of:

6,000 ft Cabin Altitude = 9.06 psi
8,000 ft Cabin Altitude = 8.11 psi

This would indeed be a higher cabin pressure than what Boeing considers &quot;typical&quot; at maximum altitudes.

1 It is probably actually an even bigger difference since the ceiling of a lot of airplanes isn't this high so the max differential would be even lower.