Prime p₀= 2627680798108421057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2627679131090126567	0 6 32 54 60 86 102 132 164 194 210 236 242 264 290 296	-1667018294490
TPT(16)	2627679280271283101	0 2 66 68 78 80 108 110 138 140 180 182 216 218 246 248	-1517837137956
STPT(10)	2627680085282816657	0 2 30 32 60 62 90 92 120 122	-712825604400
STPT(10)	2627680259395699097	0 2 42 44 72 74 102 104 144 146	-538712721960
STPT(10)	2627680424097956387	0 2 30 32 42 44 54 56 84 86	-374010464670
SPT(16)	2627680432141329767	0 14 20 54 60 72 152 156 350 354 434 446 452 486 492 506	-365967091290
SPT(16)	2627680874717811641	0 26 32 42 56 60 66 122 240 296 302 306 320 330 336 362	76609390584
SPT(16)	2627681097445565389	0 30 34 40 42 48 72 138 244 310 334 340 342 348 352 382	299337144332
STPT(10)	2627681142460473677	0 2 30 32 42 44 54 56 84 86	344352052620
SPT(16)	2627681280255656461	0 36 42 78 82 88 102 126 202 226 240 246 250 286 292 328	482147235404
STPT(10)	2627681428831600049	0 2 18 20 30 32 42 44 60 62	630723178992