Prime p₀= 2777595814324967849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2777594408596059967	0 52 90 102 126 132 150 160 246 256 274 280 304 316 354 406	-1405728907882
SPT(16)	2777594431636788919	0 42 52 64 88 112 124 138 154 168 180 204 228 240 250 292	-1382688178930
SPT(18)	2777594564831411821	0 6 60 88 100 118 150 156 160 168 172 178 210 228 240 268 322 328	-1249493556028
SPT(16)	2777595114264922207	0 6 12 46 76 90 114 132 154 172 196 210 240 274 280 286	-700060045642
TPT(14)	2777595238987861781	0 2 156 158 210 212 306 308 360 362 390 392 420 422	-575337106068
SPT(16)	2777595600837731659	0 34 72 90 102 118 138 154 228 244 264 280 292 310 348 382	-213487236190
STPT(10)	2777595869328442049	0 2 18 20 30 32 42 44 60 62	55003474200
STPT(10)	2777595943291436789	0 2 18 20 30 32 42 44 60 62	128966468940
STPT(10)	2777596528635486587	0 2 12 14 42 44 72 74 84 86	714310518738
SPT(16)	2777596647800256713	0 18 60 74 78 138 188 194 210 216 266 326 330 344 386 404	833475288864
STPT(10)	2777596685263678541	0 2 6 8 48 50 90 92 96 98	870938710692