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Napkin math says that 30% is far too high for the four surrounding starting cards to be all 1's or 2's
Deck: 1,1,1,1,2,2,2,2,3,3,3,3,4,4.
(four 1, 2 in a row)
(8*7*6*5)/(14/13/12/11)
= 1680/24024 = .069 = 6.9%.
This is an upper bound, since drawing 4 for your surrounding cards in a row is the ideal circumstance.  In almost every other case you will have less than 8,7,6, or 5 1's or 2's left in the deck. 
Simulated:
100,000
p1: 5180 = .0518 = 5.2%
p2: 5168 = .05168 = 5.2%
both: 392 = .00392 = .3%

If your generation has 30% 1's or 2's in all starting positions then I would guess that your generation is wrong.