LINK-11 CLEW, doubts about the generator polynomial x^5+x+1

I have some doubts about the description at page 19 of MIL 188-203-1A (Tadil-A/Link-11) [1]: the document states that the Start Code and the Address Code frames " [...] are equivalent to 60-bit portions of the maximum-length shift register sequence with generator polynomial G(x) =  x⁵+x+1" ...but such a fifth grade polinomyal has a maximum length sequence (MLS) of 31 bits (2⁵-1). Indeed, I found the generator polymonial x⁶+x+1, whose MLS is 63, for both start and address frames:

 

111100101000110000100000111111
101100110111011010010011100010
100001000001111110101011001101
110100100111000101111001010001

Using a GNU Octave script [2] I also checked the three fundamental properties of LFSR maximum length sequences: Balance Property, Runlength Property, and Autocorrelation Property [3]: verification fails for x⁵+x+1

• The Code does NOT satisfy Balance Property: number of 1s and 0s are 17 14
• The code does NOT satisfy RUN LENGTH property: the run length is 10    2    1    1    2
• The Code does NOT satisfy the Autocorrelation Property

  while verification is ok for x⁶+x+1 

• The Code satisfies Balance Property: number of 1s and 0s are 32 31
• The code satisfies RUN LENGTH property: the run length is 16    8    4    2    1    1
• The Code satisfies the Autocorrelation Property

So I do not know if I'm wrong or if there's a typo in 188-203-1A, comments are welcome.

[1] https://www.sigidwiki.com/wiki/File:MIL-STD-188_203-1A.pdf

[2] https://github.com/Nikeshbajaj/Linear_Feedback_Shift_Register 

[3] https://en.wikipedia.org/wiki/Maximum_length_sequence