Prime p₀= 2776284490856860967 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 104
Found by: mg13 [HWU]
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2776282224165870587	0 30 56 66 156 170 194 230 300 336 360 374 464 474 500 530	-2266690990380
STPT(10)	2776282359329056547	0 2 30 32 72 74 114 116 144 146	-2131527804420
SPT(16)	2776282464289285267	0 30 46 64 72 144 156 214 222 280 292 364 372 390 406 436	-2026567575700
STPT(10)	2776282926042776177	0 2 30 32 42 44 54 56 84 86	-1564814084790
STPT(10)	2776283065286838431	0 2 36 38 78 80 120 122 156 158	-1425570022536
SPT(16)	2776283166278812237	0 34 84 94 106 126 130 154 186 210 214 234 246 256 306 340	-1324578048730
TPT(14)	2776284535659275819	0 2 12 14 48 50 78 80 180 182 300 302 432 434	44802414852
SPT(16)	2776284632721944699	0 24 54 62 68 78 120 192 260 332 374 384 390 398 428 452	141865083732
STPT(10)	2776284932838167519	0 2 18 20 30 32 42 44 60 62	441981306552
SPT(16)	2776285422731053369	0 52 64 82 178 184 222 232 240 250 288 294 390 408 420 472	931874192402
SPT(16)	2776285560145467847	0 16 52 94 114 154 156 162 184 190 192 232 252 294 330 346	1069288606880