Prime p₀= 3001088612944128167 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3001086879563140957	0 12 40 54 106 114 130 154 222 246 262 270 322 336 364 376	-1733380987210
SPT(16)	3001087088886921761	0 2 18 30 42 110 116 126 182 192 198 266 278 290 306 308	-1524057206406
SPT(16)	3001087654831171489	0 52 72 100 112 160 202 204 238 240 282 330 342 370 390 442	-958112956678
SPT(16)	3001087985713313563	0 16 18 28 46 60 90 126 130 166 196 210 228 238 240 256	-627230814604
STPT(10)	3001088498369591417	0 2 60 62 72 74 84 86 144 146	-114574536750
STPT(10)	3001088537441736101	0 2 6 8 48 50 90 92 96 98	-75502392066
STPT(10)	3001088651667351059	0 2 12 14 90 92 168 170 180 182	38723222892
STPT(10)	3001088703504180629	0 2 18 20 30 32 42 44 60 62	90560052462
SPT(16)	3001088861935928779	0 42 162 168 178 192 280 298 354 372 460 474 484 490 610 652	248991800612
SPT(16)	3001089625237968463	0 16 138 150 156 184 190 198 316 324 330 358 364 376 498 514	1012293840296
STPT(12)	3001090072327230407	0 2 42 44 60 62 84 86 102 104 144 146	1459383102240