Prime p₀= 1074684480800981117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: rlacr
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1074683752456757621	0 2 6 8 48 50 90 92 96 98	-728344223496
SPT(16)	1074683857406431417	0 4 12 34 52 66 106 112 144 150 190 204 222 244 252 256	-623394549700
SPT(16)	1074683925192330487	0 34 52 94 114 132 144 220 444 520 532 550 570 612 630 664	-555608650630
SPT(16)	1074684122464945207	0 4 10 36 70 102 202 300 316 414 514 546 580 606 612 616	-358336035910
SPT(16)	1074684126565061237	0 14 30 60 122 144 192 246 290 344 392 414 476 506 522 536	-354235919880
TPT(14)	1074684240319487891	0 2 78 80 168 170 210 212 216 218 228 230 240 242	-240481493226
STPT(10)	1074684668710925021	0 2 36 38 78 80 120 122 156 158	187909943904
STPT(10)	1074684908551135667	0 2 30 32 60 62 90 92 120 122	427750154550
TPT(14)	1074685110657360611	0 2 168 170 246 248 288 290 300 302 318 320 360 362	629856379494
STPT(10)	1074685512569280341	0 2 36 38 78 80 120 122 156 158	1031768299224
STPT(10)	1074685926330418901	0 2 36 38 78 80 120 122 156 158	1445529437784