Prime p₀= 1337191215606483359 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: Theadalus
db: batch=77, k=10, 2 10 2 76 2

TPT(14)	1337189299634222717	0 2 42 44 72 74 102 104 180 182 222 224 270 272	-1915972260642
SPT(16)	1337189463643638907	0 42 82 136 172 222 240 246 256 262 280 330 366 420 460 502	-1751962844452
SPT(16)	1337190104686282337	0 2 44 60 72 96 102 126 140 164 170 194 206 222 264 266	-1110920201022
SPT(16)	1337190721604279419	0 12 30 42 72 174 220 238 264 282 328 430 460 472 490 502	-494002203940
SPT(16)	1337191029920058559	0 12 30 42 52 108 112 138 154 180 184 240 250 262 280 292	-185686424800
SPT(16)	1337191076425710943	0 6 16 48 78 120 126 178 306 358 364 406 436 468 478 484	-139180772416
SPT(16)	1337191699251335153	0 18 56 66 80 98 108 158 168 218 228 246 260 270 308 326	483644851794
STPT(10)	1337191941691176689	0 2 18 20 30 32 42 44 60 62	726084693330
SPT(16)	1337192152648022257	0 4 16 70 72 82 112 114 142 144 174 184 186 240 252 256	937041538898
SPT(16)	1337192493194830211	0 2 60 80 86 108 162 168 290 296 350 372 378 398 456 458	1277588346852
STPT(10)	1337192801182947827	0 2 30 32 42 44 54 56 84 86	1585576464468