Prime p₀= 2678522715794998997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2678520481622527481	0 2 30 32 60 62 90 92 120 122	-2234172471516
STPT(10)	2678520697808305451	0 2 6 8 48 50 90 92 96 98	-2017986693546
STPT(10)	2678520825244030967	0 2 54 56 72 74 90 92 144 146	-1890550968030
STPT(10)	2678521737836210471	0 2 6 8 18 20 30 32 36 38	-977958788526
SPT(16)	2678522221886070997	0 6 24 30 34 52 112 132 184 204 264 282 286 292 310 316	-493908928000
SPT(16)	2678522479713621067	0 22 36 42 90 102 150 156 190 196 244 256 304 310 324 346	-236081377930
SPT(16)	2678522932252538729	0 102 122 150 164 260 264 282 332 350 354 450 464 492 512 614	216457539732
SPT(16)	2678523677963232871	0 16 18 46 70 78 120 132 226 238 280 288 312 340 342 358	962168233874
STPT(10)	2678523882156390797	0 2 12 14 42 44 72 74 84 86	1166361391800
SPT(16)	2678523919089291727	0 6 34 54 70 76 84 100 126 142 150 156 172 192 220 226	1203294292730
STPT(10)	2678524005371442257	0 2 30 32 42 44 54 56 84 86	1289576443260