I am running the 4c/10 search again to allow it to find more ships. So far it has found two things. First, if you remove the pre-beehives from the back of the ship above, you get another p10 ship:
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x = 15, y = 32, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2b2o7b2o$2bo3bobo3bo$3b2o5b2o$3obo5bob3o$2ob2o5b
2ob2o$bob2o5b2obo$3b2o5b2o$o3bo5bo3bo$3bo7bo2$6b3o$5b2ob2o$5b2ob2o2$4b
2obob2o$3bo3bo3bo$2b2ob2ob2ob2o$3bobo3bobo$2bobo5bobo$2bo9bo$5b2ob2o$
3bobo3bobo$3bo7bo$5bo3bo$6bobo$6b3o$5bobobo$5bo3bo$4bo2bo2bo$5b5o!
Second, this new ship can pull blinkers:
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x = 45, y = 34, rule = B3/S23
3b3o3b3o21b3o3b3o$2bo3bobo3bo19bo3bobo3bo$2b2o7b2o19b2o7b2o$2bo3bobo3b
o19bo3bobo3bo$3b2o5b2o21b2o5b2o$3obo5bob3o15b3obo5bob3o$2ob2o5b2ob2o
15b2ob2o5b2ob2o$bob2o5b2obo17bob2o5b2obo$3b2o5b2o21b2o5b2o$o3bo5bo3bo
15bo3bo5bo3bo$3bo7bo21bo7bo2$6b3o27b3o$5b2ob2o25b2ob2o$5b2ob2o25b2ob2o
2$4b2obob2o23b2obob2o$3bo3bo3bo21bo3bo3bo$2b2ob2ob2ob2o19b2ob2ob2ob2o$
3bobo3bobo21bobo3bobo$2bobo5bobo19bobo5bobo$2bo9bo19bo9bo$5b2ob2o25b2o
b2o$3bobo3bobo21bobo3bobo$3bo7bo21bo7bo$5bo3bo25bo3bo$6bobo27bobo$6b3o
27b3o$5bobobo25bobobo$5bo3bo25bo3bo$4bo2bo2bo23bo2bo2bo$5b5o25b5o2$b3o
27b3o7b3o!
zfind also reported that the dart was the only odd symmetric width-15 ship in a 3c/9 search. That indicates that 17 is the minimum width for odd symmetric 3c/9 ships:
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#C Width-17 odd-symmetric 3c/9 orthogonal spaceship by David Bell
x = 17, y = 29, rule = B3/S23
8bo$7bobo$6bo3bo$7b3o2$5b2o3b2o$2b2o3bobo3b2o$2b2o3bobo3b2o$2o5bobo5b
2o$4b2obobob2o$o6bobo6bo$3b2o2bobo2b2o$bo2bobo3bobo2bo$b2o11b2o$b2o11b
2o$4bo7bo$4b3o3b3o$6bo3bo$3b2obo3bob2o$5b2o3b2o$5bobobobo2$5bo2bo2bo$
6b2ob2o$5b2o3b2o2$4bo2b3o2bo$3b11o$3b2obo3bob2o!
Again, I'm not entirely confident in zfinds ability to eliminate all ships, so I am not including it in the table.
Edit: the 4c/10 width-15 odd symmetric search finished without finding any more ships.
Edit 2: zfind indicates that no 4c/10 width-19 gutter symmetric ships exist (except two period-5 ships). If that is the case, then the minimum width for a 4c/10 gutter spaceship is 21:
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#C width-21 gutter-symmetric 4c/10 orthogonal spaceship by Paul Tooke
x = 21, y = 23, rule = B3/S23
5b3o5b3o$5bobo5bobo$5bo2bo3bo2bo$5bo3bobo3bo$2bo3b2obobob2o3bo$2ob2o2b
obobobo2b2ob2o$2ob2o3b2ob2o3b2ob2o$bo7bobo7bo$3o6bobo6b3o$b2o5b2ob2o5b
2o$9bobo$5b4o3b4o$5bo9bo$7bo5bo$7bobobobo$7b3ob3o$8b2ob2o2$8bo3bo2$7bo
bobobo$7bobobobo$8b2ob2o!