Prime p₀= 2306138047796635667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: eclipse99
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2306135839164198709	0 10 24 70 72 100 142 160 192 210 252 280 282 328 342 352	-2208632436958
SPT(16)	2306135980105620211	0 138 142 162 208 238 252 282 316 346 360 390 436 456 460 598	-2067691015456
STPT(10)	2306136181023640541	0 2 36 38 78 80 120 122 156 158	-1866772995126
STPT(10)	2306136991803955559	0 2 18 20 30 32 42 44 60 62	-1055992680108
STPT(10)	2306137554047749031	0 2 30 32 78 80 126 128 156 158	-493748886636
SPT(20)	2306137923391832219	0 8 20 30 42 44 54 68 78 84 98 104 114 128 138 140 152 162 174 182	-124404803448
STPT(10)	2306138185164842837	0 2 54 56 72 74 90 92 144 146	137368207170
STPT(10)	2306138367985953827	0 2 42 44 72 74 102 104 144 146	320189318160
SPT(16)	2306139893433702419	0 2 20 74 84 104 134 144 158 168 198 218 228 282 300 302	1845637066752
STPT(10)	2306139931889284367	0 2 30 32 60 62 90 92 120 122	1884092648700
SPT(16)	2306139999022688869	0 22 34 60 124 144 150 172 210 232 238 258 322 348 360 382	1951226053202