Prime p₀= 2224215546257687417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2224212416099801021	0 66 68 110 156 188 198 222 266 290 300 332 378 420 422 488	-3130157886396
SPT(16)	2224214262646652681	0 86 108 170 198 212 240 300 308 368 396 410 438 500 522 608	-1283611034736
STPT(10)	2224214367824603501	0 2 6 8 48 50 90 92 96 98	-1178433083916
STPT(10)	2224214572333885457	0 2 42 44 72 74 102 104 144 146	-973923801960
STPT(10)	2224214586948393209	0 2 18 20 30 32 42 44 60 62	-959309294208
SPT(16)	2224214597922958307	0 14 20 86 120 140 156 234 392 470 486 506 540 606 612 626	-948334729110
SPT(16)	2224215814126071203	0 6 20 54 60 144 216 240 254 278 350 434 440 474 488 494	267868383786
SPT(16)	2224216243957328611	0 12 48 82 90 102 112 132 196 216 226 238 246 280 316 328	697699641194
STPT(10)	2224216270899846071	0 2 36 38 78 80 120 122 156 158	724642158654
SPT(16)	2224216402022161273	0 16 18 24 28 34 48 84 100 136 150 156 160 166 168 184	855764473856
STPT(10)	2224216475858567249	0 2 12 14 90 92 168 170 180 182	929600879832