Prime p₀= 2957224373143246667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: arkiss
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2957223514093194949	0 30 42 52 64 70 94 150 484 540 564 570 582 592 604 634	-859050051718
SPT(16)	2957223965448497197	0 12 24 46 124 144 180 202 354 376 412 432 510 532 544 556	-407694749470
STPT(10)	2957224053484737731	0 2 36 38 78 80 120 122 156 158	-319658508936
STPT(10)	2957224101124819649	0 2 12 14 90 92 168 170 180 182	-272018427018
STPT(10)	2957224143435072491	0 2 30 32 78 80 126 128 156 158	-229708174176
SPT(16)	2957224315515131443	0 4 60 108 136 168 174 204 220 250 256 288 316 364 420 424	-57628115224
SPT(18)	2957224475071898071	0 28 36 42 106 108 130 166 172 186 192 228 250 252 316 322 330 358	101928651404
STPT(10)	2957224615849411907	0 2 24 26 42 44 60 62 84 86	242706165240
TPT(14)	2957224905189367997	0 2 60 62 72 74 120 122 132 134 162 164 174 176	532046121330
SPT(16)	2957225000418400487	0 12 24 42 44 62 86 140 156 210 234 252 254 272 284 296	627275153820
SPT(16)	2957225270073062831	0 12 20 62 72 98 110 122 138 150 162 188 198 240 248 260	896929816164