This title is currently listed as A 1981. My most up-to-date copy of Debrett's 2008 gives a few gaps in the descendants of a son of the 3rd Bt, and other information probably out of date. I am not sure if there is a young heir, but there is good evidence for one.
The hp is the 5th Baronet's brother Jenkyn M B S K. (born 1954). His eldest son Benedict N J K. (born 1979) is currently resident in New Zealand. He m. Anna ?Victoria? NELSON (year unknown - a wedding has certainly taken place - a photo posted in 2014 makes this clear, but it is clear from the context the event was in the past, probably by a few years) , and with her has issue: a son (born 2012), a dau (born 2008/9)
Next son, Leo M B K. (born 1981) - in a relationship with children - he does NOT appear to have married.
Gyles Braoze Hamish Staislas STUART-KNILL [or G B H S Stuart KNILL?] (1945 - 2019), son by 2nd m of the 3rd Bt, m. 1967 Pamela M ?WHITE? (her 2nd h. - her 1st h. had surname LEWIS). With her had issue: 2 daus, born 1968 & 1971. According to GRO indices he died Q1 2019 North Somerset - could
this be a notice of his death?
Rory A S-K. (born 1973), son of Rognvald (y bro of Gyles above) m. unknown, has issue, a dau born 2008 Coventry.