Self-enumerating palingrams

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© Eric Wassenaar

*
Write
down ten `a's,
eight `c's,   ten `d's,
fifty-two `e's,   thirty-eight `f's,
sixteen `g's,   thirty `h's,   forty-eight `i's,
six `l's,   four `m's,   thirty-two `n's,   forty-four `o's,
four `p's,   four `q's,   forty-two `r's,   eighty-four `s's,
seventy-six `t's,   twenty-eight `u's,   four `v's,   four `W's,
eighteen `w's,   fourteen `x's,   thirty-two `y's,   four `:'s,
four `*'s,   twenty-six `-'s,   fifty-eight `,'s,
sixty ``'s   and   sixty `''s,   in a
palindromic sequence
whose second
half runs
thus:
:suht
snur flah
dnoces esohw
ecneuqes cimordnilap
a ni   ,s''` ytxis   dna   s'`` ytxis
,s',` thgie-ytfif   ,s'-` xis-ytnewt   ,s'*` ruof
,s':` ruof   ,s'y` owt-ytriht   ,s'x` neetruof   ,s'w` neethgie
,s'W` ruof   ,s'v` ruof   ,s'u` thgie-ytnewt   ,s't` xis-ytneves
,s's` ruof-ythgie   ,s'r` owt-ytrof   ,s'q` ruof   ,s'p` ruof
,s'o` ruof-ytrof   ,s'n` owt-ytriht   ,s'm` ruof   ,s'l` xis
,s'i` thgie-ytrof   ,s'h` ytriht   ,s'g` neetxis
,s'f` thgie-ytriht   ,s'e` owt-ytfif
,s'd` net   ,s'c` thgie
,s'a` net nwod
etirW
*