Prime p₀= 2512774576688597189 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: dthonon
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2512772039297502247	0 16 30 40 66 84 126 136 144 154 196 214 240 250 264 280	-2537391094942
SPT(16)	2512772432379136393	0 4 16 30 34 64 144 174 280 310 390 420 424 438 450 454	-2144309460796
SPT(16)	2512772603424960661	0 36 42 78 82 88 130 186 232 288 330 336 340 376 382 418	-1973263636528
TPT(14)	2512773081791760479	0 2 18 20 150 152 198 200 282 284 360 362 378 380	-1494896836710
STPT(10)	2512773570517268921	0 2 36 38 78 80 120 122 156 158	-1006171328268
SPT(16)	2512774049705729783	0 8 54 68 84 98 108 156 218 266 276 290 306 320 366 374	-526982867406
STPT(10)	2512774941714216209	0 2 18 20 30 32 42 44 60 62	365025619020
SPT(16)	2512775386240645291	0 36 52 76 82 90 96 160 252 316 322 330 336 360 376 412	809552048102
TPT(14)	2512776023272310561	0 2 6 8 36 38 120 122 150 152 210 212 216 218	1446583713372
SPT(16)	2512776034938432889	0 42 72 82 84 94 114 142 192 220 240 250 252 262 292 334	1458249835700
SPT(16)	2512776292748926411	0 16 30 42 88 130 180 232 246 298 348 390 436 448 462 478	1716060329222