Here are the Earth-Moon distances in Earth radii at the time of LOI for each mission:

Apollo 8 - 24 Dec 1968 9:59:20 UT - 59.009
Apollo 10 - 21 May 1969 20:44:54 UT - 63.396
Apollo 11 - 19 Jul 1969 17:21:50 UT - 61.848
Apollo 12 - 18 Nov 1969 03:47:23 UT - 58.933
Apollo 13 - halfway between LM DPS burns ~ 14 Apr 1970 18:00:00 UT - 63.387
Apollo 14 - 04 Feb 1971 06:59:43 UT - 60.279
Apollo 15 - 29 Jul 1971 20:05:47 UT - 63.186
Apollo 16 - 19 Apr 1972 20:22:28 UT - 59.531
Apollo 17 - 10 Dec 1972 19:47:23 UT - 61.818

The Moon was slightly further for Apollo 10 than for Apollo 13, but the A13 stack had to go further behind the Moon in order to benefit from the Moon's slingshot effect and return directly back to Earth. As a result, Apollo 13 was the furthest manned spacecraft ever:
400.171 km from Mother Earth.
Frankly, we still learn much about Apollo, and don't need to give any credit to hoaxers; they don't deserve it. I'm not paying attention to them.

Raoul