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It's been two weeks since New Horizons flew past Ultima Thule but the most recent news on the Johns Hopkins site is dated the fourth of January

The image gallery has had no new pictures since the flyby despite JHU's statement that:

The team will continue posting LORRI images within 24 hours of their
receipt on the ground during the first two weeks of January 2019,
provided NASA has approved their release. After that, images received
at the New Horizons Science Operations Center through each Tuesday at
5 pm ET will be posted on the following Friday. The date/time in the
image caption is when the picture was taken by the spacecraft, though
receipt of the data on Earth could be many days later.

I understand that JHU isn't affected by the government shutdown, so why no further information or images?

Edit: I know the download speed is very slow and the targetting may be imprecise (missing Ultima and only giving shots of starfields), but even so JHU has been very quiet

New Horizons was hidden behind the Sun a few days after the flyby, from January 4th to January 7th.

Almost as soon as the encounter and earliest downlinks are over, New Horizons will go into solar conjunction from January 4 to 7. I asked Alice Bowman what implications that has for the mission, and she replied: "During solar conjunction, the downlink data rates are lower because of interference from the Sun. Generally, because New Horizons has fairly short solar conjunctions, we can stand down from science data playback (as the chances of dropping data is increased); we also make sure not to conduct any critical uplinks or sequence transitions, and we set the spacecraft’s command loss timer to allow it more time to receive commands."

They'll stay in 3-axis mode until after the flyby, returning to spin mode on January 9 to begin dumping data.

A paper that summarizes the initial findings based on the first post-encounter download was submitted on 2019-01-09:

At the time of this abstract’s submission, only 4 days of data downlink from the flyby were available; well over an order of magnitude more data will be downlinked by the time of this LPSC meeting in 2019 March. Therefore many additional results not available at the time of this abstract submission will be presented in this review talk.

So they've started downloading on January 9th, for 8-12 hours/day at 1 kbit/s.

The first website update was scheduled for January 11, but that would have given just one day of downlinked data, the next update is scheduled for January 18. Also, LORRI is just one of the 7 instruments on board, and the only one for which raw data is made public within a week.

In addition to the limited downlink time due to it being hidden behind the Sun, it should be noted that the New Horizons team is prioritizing downlinking the metadata of each of the images. This will allow them to prioritize downloading the images that actually have something interesting in them, and deprioritize the images that will be of blank space. Keep in mind that the position uncertainty was still fairly high, and they blanketed lots of images to make sure they got something during the flyby, many of which won't have things of interest in them. That process will take a while, but they are expecting to have the best images on the ground sometime towards the end of February.

... the most recent news on the Johns Hopkins site is dated the fourth of January.

That webpage says the 15th, and/or they updated it since you posted your question.

There is this image set courtesy of JHU's page: "Rotation Sequence of Ultima Thule", Release Date: January 15, 2019. Perhaps they updated the website invalidating the date you wrote.

This latest processed image, shown overlaid on the original raw image, shows the most recent processed view:

Asteroid 486958 (2014 MU69)

2019-01-01 05:01:47

KELR_MU69_CA04-MAP_L1_2019001

27,539 km

Apparently it's taken a couple of weeks to process and release the last set of raws. The above image appears to be an improvement over the same image offered on the Smithsonian website on Jan 2nd, supporting the assertion that it was released on the 15th and is not an older image but one that has been enhanced.

The latest Tweet from Alan Stern from 15 hours ago offers this image and says that the next set will be late February.

Yeah, at that distance, I'm surprised they get 1 kbit/s. It will definitely take a while to download all the data. It took quite a while to get the pictures from Pluto.

Also remember the antenna is not steerable. The entire spacecraft has to rotate to do science, and then stop doing science, and rotate the spacecraft to transmit back to Earth. The spacecraft can't do science, and communicate with Earth at the same time. This was done to avoid having to build a mechanical steering structure for the antenna that might get stuck in the extreme cold. Metal parts tend to contract in the cold, and rotating joints can freeze up. So this method of science/Earth communications by rotation of the spacecraft is used.