5,079 (5,050, 5,007) Stedman Caters

Donald F Morrison (no. 2536)
231456789  2  5  7  9 16
314652978       (a)
312456                 -
214356        -        2 |
412356        -        s |
213456        -        2 |A
314256        -        2 |
413256        -        s |
413256879  -        s
214356           A
214365978  -     s  s   
413265        -        2 |
315264        -        3 |
415263        2        s |B
412365                 2 |
213465        -        2 |
314265        -        2 |
314265879  -        s
214365           B      
(a) =  1.5.6.7.s8.15.s18

For 5,007 replace the first two courses by one course called
  1.s4.s6.7.9.12.19.21.24 (24 sixes).
For 5,050 start at backstroke with rounds the third row of a slow six, call the first course
  1.s3.5.7.s9.10.11.13 (15 sixes),
and the second course
  5.7.8.9.10.12.14 (16 sixes).
All three lengths contain all 8 near misses.