Prime p₀= 3007717653614009459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	3007716884595937559	0 2 42 44 90 92 138 140 180 182	-769018071900
STPT(10)	3007716947319423011	0 2 30 32 78 80 126 128 156 158	-706294586448
STPT(10)	3007717137327194177	0 2 30 32 42 44 54 56 84 86	-516286815282
STPT(10)	3007717217326774607	0 2 30 32 72 74 114 116 144 146	-436287234852
STPT(10)	3007717477881304997	0 2 12 14 72 74 132 134 144 146	-175732704462
SPT(16)	3007717564835546951	0 6 56 86 90 138 146 170 216 240 248 296 300 330 380 386	-88778462508
TPT(14)	3007718640727898369	0 2 72 74 150 152 192 194 198 200 228 230 240 242	987113888910
SPT(16)	3007718942058594077	0 12 56 84 140 152 164 182 234 252 264 276 332 360 404 416	1288444584618
SPT(16)	3007718992651375817	0 42 62 80 126 140 146 192 194 240 246 260 306 324 344 386	1339037366358
SPT(16)	3007719435939342823	0 40 66 70 186 256 264 298 306 340 348 418 534 538 564 604	1782325333364
TPT(16)	3007719629878900679	0 2 30 32 42 44 72 74 120 122 150 152 318 320 330 332	1976264891220