Prime p₀= 1012212561019493591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1012210880506565461	0 10 16 22 36 78 156 238 270 352 430 472 486 492 498 508	-1680512928130
STPT(10)	1012210987631516501	0 2 6 8 48 50 90 92 96 98	-1573387977090
STPT(10)	1012211008266010667	0 2 72 74 102 104 132 134 204 206	-1552753482924
SPT(16)	1012211861185536829	0 24 34 60 168 180 228 234 244 250 298 310 418 444 454 478	-699833956762
STPT(10)	1012212262491707741	0 2 36 38 78 80 120 122 156 158	-298527785850
STPT(10)	1012212476159214191	0 2 36 38 78 80 120 122 156 158	-84860279400
STPT(10)	1012212720595669907	0 2 12 14 42 44 72 74 84 86	159576176316
SPT(16)	1012212933793176289	0 42 82 94 108 130 168 192 280 304 342 364 378 390 430 472	372773682698
SPT(16)	1012213044306626143	0 10 18 34 76 88 94 100 144 150 156 168 210 226 234 244	483287132552
TPT(14)	1012213124827948829	0 2 30 32 120 122 132 134 162 164 210 212 240 242	563808455238
SPT(16)	1012213198658041481	0 38 50 80 90 156 180 212 216 248 272 338 348 378 390 428	637638547890