Eight new sequences

Two years ago, I discussed the phenomenon of possible numbers of primes ending in a particular digit [1, 3, 7, or 9] between 100k and 100k+99. For a long time afterwards, I wanted to actually make centuries with the maximum number of primes ending in each of 1, 3, 7 or 9 into a reasonable sequence. However, my inability to use the software used by professional mathematicians to find centuries with unusual prime configurations, alongside the fact that the software is not normally used to find this sort of configuration, made if difficult, Recently, however, over several days and nights I have managed to list all centuries with seven primes ending in the same digit up to 10¹⁰:

Centuries [100k to 100k+99] Containing Seven Primes Ending in the Same Digit Up to 10¹⁰:

1	80562, 812412, 830407, 1922407, 3221175, 4246561, 4699195, 5163822, 5972635, 6889392, 10824559, 11647131, 12871998, 14414719, 15209863, 17067460, 23006325, 24014386, 30768175, 31608072, 32133534, 37443006, 44082616, 44823097, 44980450, 47731935, 48607213, 54022315, 54958684, 58407306, 65250324, 65672949, 72608932, 76150752, 76171500, 76967232, 82229494, 91365756, 93799572, 94346032, 94632495, 97150540, 98820502, 99906057,...
3	0, 190783, 768052, 1089709, 1844258, 2076875, 2386669, 3003353, 3440953, 3645619, 4992263, 6363542, 7768946, 11771275, 12201733, 14280710, 19513177, 19916480, 21137401, 21365041, 23104154, 25313755, 26820232, 29518856, 31861282, 32615117, 36697244, 43681403, 44142899, 44160098, 45218771, 45965531, 47014733, 48467767, 48732661, 49482781, 50885369, 52788433, 53482777, 58303430, 60432874, 67088696, 70714409, 79505765, 79644008, 83922821, 85742996, 87239311, 90260663, 92520958, 98023460,...
7	224241, 1599235, 3884413, 6898356, 8428813, 8759248, 10924537, 11838333, 12435657, 15219837, 16784694, 19087533, 19821189, 20164873, 21484788, 25402399, 25564267, 28697595, 28701604, 33482947, 34976343, 37674297, 39663438, 41820411, 46977862, 50299747, 61913167, 74271037, 77368852, 79458772, 84251478, 86998843, 93082627, 96209697,...
9	211696, 974015, 1173662, 1225261, 1239646, 1790287, 2159824, 2815148, 2972188, 4179688, 5416987, 6741980, 7300811, 9143479, 9945887, 10982447, 12604004, 15818663, 16486988, 16835336, 19558576, 20439547, 24812921, 25024748, 25910927, 27292792, 33721163, 34760854, 36064070, 36880424, 42930020, 43607125, 43869583, 44703220, 53590126, 54638992, 55794473, 55944560, 58510697, 58944284, 61995880, 62609960, 66563149, 70544810, 71355032, 71403374, 78722777, 83384546, 83826323, 90718103, 94922326, 98440832,...

In addition, owing to the irregularity of the first centuries containing six primes ending in each of 1, 3, 7, or 9, I have decided to tabulate these up to sixteen million — slightly more than the first million primes. Searching for centuries containing six primes ending in 1, 3, 7 or 9 using the PARI software would undoubtedly be possible, but working out the formula to do so would be far beyond what I managed to grasp of PARI seeking centuries with seven primes ending in one digit. Thus, I simply used a table of the first million prime numbers, filtered them by modulus (10), and looked for cases where the difference between six successive primes with a given modulus 10 was less than 100. I then filtered these to identify cases where the last six consecutive primes with the same modulus (10) was 7x, 8x or 9x mod (100). I did have to weed out the 80563^rd century with seven primes ending in 1, but a thorough check by this inefficient method, as well as mere memory of that century, can do this:

Centuries [100k to 100k+99] Containing Six Primes Ending in the Same Digit In First Million Primes:

1	42, 2986, 4437, 6747, 9780, 11134, 12067, 12268, 15462, 23970, 24352, 24597, 24679, 24865, 32913, 36714, 37108, 39070, 39087, 50664, 51900, 54151, 54646, 59869, 61486, 61986, 64428, 67922, 70279, 70585, 84277, 85257, 87633, 90775, 96048, 96646, 104044, 106856, 108156, 117270, 117795, 119046, 133342, 143152, 146023, 146610, 150891, 150929, 151393, 161685,...
3	2054, 2413, 3587, 5362, 6418, 8543, 13583, 16067, 17510, 22298, 24829, 27086, 29174, 31238, 31637, 32815, 36557, 44101, 44205, 50690, 55856, 57307, 59132, 73752, 77639, 79441, 82757, 97577, 103202, 109975, 113480, 115622, 125819, 126931, 128113, 132637, 133682, 134963, 135920, 137590, 139583, 143606, 150925, 154184, 158697, 160835, 162620,...
7	0, 1, 3, 9, 16, 69, 313, 633, 1095, 1209, 2197, 2817, 3655, 4002, 4833, 7813, 10488, 12414, 13485, 13966, 14661, 15535, 19134, 19231, 20947, 21148, 25142, 27049, 28414, 30745, 32702, 36606, 46791, 48291, 49437, 49733, 52967, 55350, 56235, 59492, 75370, 75771, 78186, 79635, 79818, 79885, 80410, 84912, 88363, 88404, 89467, 89818, 91023, 91798, 96166, 98953, 123678, 130377, 131415, 132847, 134137, 136383,...
9	4, 14, 175, 320, 397, 1232, 6043, 6373, 6400, 7211, 11837, 12082, 24183, 28337, 28852, 34178, 44419, 54530, 56156, 58384, 64225, 68056, 71338, 73663, 79742, 82910, 85174, 92523, 95314, 95331, 98525, 101641, 102301, 108040, 117880, 129901, 130852, 147371, 150586, 153361,...