Prime p₀= 3031969200432333827 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: Time_Traveler
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3031967308737620189	0 2 30 98 104 140 210 224 228 242 312 348 354 422 450 452	-1891694713638
STPT(10)	3031967331668344409	0 2 18 20 30 32 42 44 60 62	-1868763989418
SPT(18)	3031967758967090599	0 12 52 54 64 82 84 120 130 144 154 190 192 210 220 222 262 274	-1441465243228
TPT(14)	3031967790617516129	0 2 12 14 150 152 168 170 222 224 288 290 318 320	-1409814817698
SPT(16)	3031968980872385093	0 18 68 78 114 126 158 176 228 246 278 290 326 336 386 404	-219559948734
SPT(16)	3031968991478730049	0 28 48 88 108 118 162 178 204 220 264 274 294 334 354 382	-208953603778
STPT(10)	3031969578530103317	0 2 30 32 42 44 54 56 84 86	378097769490
SPT(16)	3031969614377747369	0 32 44 60 62 84 110 144 170 204 230 252 254 270 282 314	413945413542
STPT(10)	3031970250938677847	0 2 30 32 42 44 54 56 84 86	1050506344020
SPT(16)	3031970389127984621	0 6 32 36 48 78 98 102 116 120 140 170 182 186 212 218	1188695650794
SPT(16)	3031970560114377677	0 14 50 102 176 200 242 264 272 294 336 360 434 486 522 536	1359682043850