Prime p₀= 1013190681346592867 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1013189953048450981	0 12 16 18 42 58 70 100 198 228 240 256 280 282 286 298	-728298141886
SPT(16)	1013190002413340903	0 48 54 78 84 90 110 144 170 204 224 230 236 260 266 314	-678933251964
STPT(10)	1013190055864975169	0 2 18 20 30 32 42 44 60 62	-625481617698
STPT(10)	1013190143442720107	0 2 42 44 72 74 102 104 144 146	-537903872760
SPT(16)	1013190185166165049	0 24 54 64 72 94 124 130 162 168 198 220 228 238 268 292	-496180427818
STPT(10)	1013190544024140059	0 2 48 50 90 92 132 134 180 182	-137322452808
SPT(16)	1013190760527112289	0 2 12 14 104 132 152 188 204 240 260 288 378 380 390 392	79180519422
TPT(14)	1013190818247378101	0 2 90 92 156 158 168 170 198 200 246 248 300 302	136900785234
SPT(16)	1013190873202399469	0 12 32 50 84 194 212 240 242 270 288 398 432 450 470 482	191855806602
STPT(10)	1013190905803985927	0 2 12 14 72 74 132 134 144 146	224457393060
STPT(10)	1013190907770344507	0 2 12 14 42 44 72 74 84 86	226423751640