Prime p₀= 1298064573360163517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1298062722282189011	0 2 30 32 78 80 126 128 156 158	-1851077974506
STPT(10)	1298063898433706177	0 2 54 56 72 74 90 92 144 146	-674926457340
STPT(10)	1298063904972530789	0 2 42 44 60 62 78 80 120 122	-668387632728
SPT(16)	1298064236129257591	0 10 36 46 60 100 108 130 246 268 276 316 330 340 366 376	-337230905926
SPT(16)	1298064396584406049	0 4 22 42 48 82 132 162 250 280 330 364 370 390 408 412	-176775757468
SPT(16)	1298064469784868271	0 30 36 52 58 70 142 162 226 246 318 330 336 352 358 388	-103575295246
SPT(16)	1298064659797672463	0 54 60 90 98 120 138 146 258 266 284 306 314 344 350 404	86437508946
STPT(10)	1298064860999275511	0 2 6 8 18 20 30 32 36 38	287639111994
STPT(10)	1298065123303191071	0 2 6 8 48 50 90 92 96 98	549943027554
STPT(10)	1298065389936011297	0 2 42 44 72 74 102 104 144 146	816575847780
STPT(10)	1298065652996701607	0 2 12 14 72 74 132 134 144 146	1079636538090