[68, 34, 12] singly-even binary self-dual

?34 68 2 $ C_{68,1}; W_{68,1}; alpha=110; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[22120031]; b=[02331100]; c=[33331213]; xi=[101132]; $
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$+882z^{12}+9984z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,2}; W_{68,1}; alpha=124; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[10021300]; b=[31232012]; c=[30313131]; xi=[120023]; $
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$+938z^{12}+9872z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,3}; W_{68,2}; alpha=20; beta=1; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; $
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$+522z^{12}+14544z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,4}; W_{68,2}; alpha=28; beta=1; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=3; a=[01230200]; b=[13010312]; c=[22003002]; xi=[102232]; $
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$+554z^{12}+14480z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,5}; W_{68,2}; alpha=32; beta=1; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[31221023]; b=[30003111]; c=[13012103]; xi=[233310]; $
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$+570z^{12}+14448z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,6}; W_{68,2}; alpha=34; beta=1; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[03210210]; b=[32221121]; c=[13331101]; xi=[122201]; $
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$+578z^{12}+14432z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,7}; W_{68,2}; alpha=36; beta=1; |Aut|=2; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[00030320]; b=[21031233]; c=[32100012]; xi=[122201]; $
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$+586z^{12}+14416z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,8}; W_{68,1}; alpha=113; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000000101010011111010001101100011011100]; $
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$+894z^{12}+9960z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,9}; W_{68,1}; alpha=114; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000001110010011100001110010110111100100]; $
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$+898z^{12}+9952z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,10}; W_{68,1}; alpha=116; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000001010100100010111000000100111010111]; $
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$+906z^{12}+9936z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,11}; W_{68,1}; alpha=118; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000000011000011011101010101010100010000]; $
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$+914z^{12}+9920z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,12}; W_{68,1}; alpha=121; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000000101010001111010000101100011011111]; $
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$+926z^{12}+9896z^{14} GL-K:0 GL-LK:0$

?34 68 2 $ C_{68,13}; W_{68,1}; alpha=123; |Aut|=1; (Theorem 3.1) R='F2+uF2'; lambda=1; mu=1; a=[01323103]; b=[20022123]; c=[00300222]; xi=[013332]; (Remark 4.1) x=[00000000000000000000000000000000000011001001011000000110010111110101]; $
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$+934z^{12}+9880z^{14} GL-K:0 GL-LK:0$

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$+590z^{12}+14408z^{14} GL-K:0 GL-LK:0$