Prime p₀= 2812568529723715067 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2812566355976092511	0 48 50 68 132 182 188 200 210 222 228 278 342 360 362 410	-2173747622556
STPT(10)	2812566524220445919	0 2 12 14 90 92 168 170 180 182	-2005503269148
SPT(16)	2812566774706939273	0 36 66 70 240 280 288 310 456 478 486 526 696 700 730 766	-1755016775794
STPT(10)	2812567250484898337	0 2 30 32 72 74 114 116 144 146	-1279238816730
SPT(16)	2812567682222583301	0 16 70 78 102 120 126 148 150 172 178 196 220 228 282 298	-847501131766
TPT(14)	2812568219931231611	0 2 36 38 48 50 66 68 90 92 288 290 330 332	-309792483456
STPT(10)	2812568933220675659	0 2 18 20 30 32 42 44 60 62	403496960592
SPT(16)	2812568968745088559	0 12 48 70 84 90 154 168 184 198 262 268 282 304 340 352	439021373492
TPT(14)	2812569183307776461	0 2 18 20 156 158 216 218 240 242 258 260 330 332	653584061394
TPT(14)	2812569402728756831	0 2 30 32 96 98 108 110 156 158 210 212 240 242	873005041764
SPT(16)	2812569514673257021	0 28 30 48 60 96 118 130 198 210 232 268 280 298 300 328	984949541954