Prime p₀= 2499340229664605021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 28 2 28 2

STPT(12)	2499338987451474977	0 2 30 32 84 86 90 92 144 146 174 176	-1242213130044
STPT(12)	2499339317575503509	0 2 30 32 72 74 168 170 210 212 240 242	-912089101512
STPT(10)	2499339623826664649	0 2 30 32 60 62 90 92 120 122	-605837940372
STPT(10)	2499339682923338501	0 2 78 80 138 140 198 200 276 278	-546741266520
SPT(16)	2499339780621428369	0 18 74 92 140 162 170 224 228 282 290 312 360 378 434 452	-449043176652
SPT(16)	2499340212483090281	0 56 60 86 156 162 170 188 240 258 266 272 342 368 372 428	-17181514740
STPT(10)	2499340255835137007	0 2 42 44 72 74 102 104 144 146	26170531986
STPT(10)	2499340460062649351	0 2 30 32 78 80 126 128 156 158	230398044330
SPT(16)	2499341022801543761	0 12 36 38 42 78 86 98 180 192 200 236 240 242 266 278	793136938740
SPT(16)	2499341335644223153	0 10 28 54 88 154 160 166 228 234 240 306 340 366 384 394	1105979618132
STPT(10)	2499341890133749979	0 2 42 44 90 92 138 140 180 182	1660469144958