Prime p₀= 2565148008858848849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2565147264957007279	0 28 40 52 54 64 82 90 112 120 138 148 150 162 174 202	-743901841570
STPT(10)	2565147279111245207	0 2 30 32 42 44 54 56 84 86	-729747603642
SPT(16)	2565147295334120701	0 22 58 66 138 162 166 178 210 222 226 250 322 330 366 388	-713524728148
STPT(10)	2565147509499710921	0 2 36 38 78 80 120 122 156 158	-499359137928
SPT(16)	2565147563524518701	0 2 60 66 72 128 170 176 192 198 240 296 302 308 366 368	-445334330148
STPT(12)	2565147726335427281	0 2 138 140 156 158 180 182 198 200 336 338	-282523421568
STPT(10)	2565148757238947681	0 2 6 8 48 50 90 92 96 98	748380098832
SPT(16)	2565148920628826869	0 12 52 72 88 102 138 154 168 184 220 234 250 270 310 322	911769978020
TPT(14)	2565149181107043077	0 2 30 32 54 56 84 86 150 152 162 164 222 224	1172248194228
STPT(10)	2565149698856643161	0 2 6 8 48 50 90 92 96 98	1689997794312
STPT(10)	2565149872628437571	0 2 36 38 78 80 120 122 156 158	1863769588722