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1922624336133018996235 <<< group 4 KNOWN
2004595370006815987563563 <<< group 183
8022581057533823761829436662099 <<< group 336010 found by keith. =\
392629621582222667733213907054116073 << found by me using keith's approach.
32456836304775204439912231201966254787 << ditto.
428027336071597254024922793107218595973
1597863243206403857787246920544522912361
30412638162199251273509758127730300026189
32345684491703244980406880704479906642045
6643
1100111110011
100010001
size: 13 popcnt: 9
1422773
101011011010110110101
2200021200022
size: 21 popcnt: 13
5415589
10100101010001010100101
101012010210101
size: 23 popcnt: 10
90396755477
1010100001100000100010000011000010101
22122022220102222022122
size: 37 popcnt: 12
381920985378904469
10101001100110110110001110011011001110001101101100110010101
2112200222001222121212221002220022112
size: 59 popcnt: 32
1922624336133018996235
11010000011100111000101110001110011011001110001110100011100111000001011
122120102102011212112010211212110201201021221
size: 71 popcnt: 36
2004595370006815987563563
110101000011111010101010100101111011110111011110111101001010101010111110000101011
221010112100202002120002212200021200202001211010122
size: 81 popcnt: 49
8022581057533823761829436662099
1100101010000100101101110000011011011111111011000011100001101111111101101100000111011010010000101010011
21000020210011222122220212010000100001021202222122211001202000012
size: 103 popcnt: 55
392629621582222667733213907054116073
10010111001111000100010100010100000011011011000101011011100000111011010100011011011000000101000101000100011110011101001
122102120011102000101101000002010021111120010200000101101000201110021201221
size: 119 popcnt: 54
32456836304775204439912231201966254787
11000011010101111010110010100010010011011010101001101000001000100010000010110010101011011001001000101001101011110101011000011
1222100201002211120110022121002012121101011212102001212200110211122001020012221
size: 125 popcnt: 57
428027336071597254024922793107218595973
101000010000000110001000011111100101011110011100001110100011100010001110001011100001110011110101001111110000100011000000010000101
222001200110022102121001000200200202022111220202002002000100121201220011002100222
size: 129 popcnt: 57
1597863243206403857787246920544522912361
10010110010000110010100010001000111010010000111000010010100010111011101000101001000011100001001011100010001000101001100001001101001
10121021220121202021201220210001211020122122102011210001202210212020212102212012101
size: 131 popcnt: 52
30412638162199251273509758127730300026189
101100101011111111011010000110101101100101010100101101010000001000000000100000010101101001010101001101101011000010110111111110101001101
2112120210211212121000000011202022210210101010120122202021100000001212121120120212112
size: 135 popcnt: 66
32345684491703244980406880704479906642045
101111100001110001100000011101111000001111001000110100111001010101101101010100111001011000100111100000111101110000001100011100001111101
2200221111210202000010122020002221112212101012122111222000202210100002020121111220022
size: 135 popcnt: 68
24014998963383302600955162866787153652444049
1000100111010110110111101001100011100110100000011011001010100101011001100011001101010010101001101100000010110011100011001011110110110101110010001
2202021211210100110100002202101000110000220121210220000110001012022000010110010121121202022
size: 145 popcnt: 72