Prime p₀= 3091643614731866609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: Dirk Broer
db: batch=83, k=10, 2 46 2 10 2

STPT(10)	3091642363141620707	0 2 12 14 42 44 72 74 84 86	-1251590245902
TPT(14)	3091642497315124607	0 2 114 116 180 182 204 206 264 266 282 284 372 374	-1117416742002
STPT(10)	3091642654177336871	0 2 6 8 108 110 210 212 216 218	-960554529738
SPT(16)	3091643016846433591	0 36 100 126 136 138 148 168 178 198 208 210 220 246 310 346	-597885433018
SPT(16)	3091643103595728767	0 26 50 66 116 126 134 156 164 186 194 204 254 270 294 320	-511136137842
STPT(10)	3091643309307481811	0 2 36 38 78 80 120 122 156 158	-305424384798
SPT(16)	3091643749560988277	0 32 116 120 132 144 152 162 164 174 182 194 206 210 294 326	134829121668
SPT(16)	3091643751421361921	0 12 38 42 66 68 80 96 152 168 180 182 206 210 236 248	136689495312
SPT(16)	3091644086126194073	0 18 26 30 48 90 114 126 128 140 164 206 224 228 236 254	471394327464
SPT(16)	3091644513035150971	0 12 16 40 42 78 90 100 138 148 160 196 198 222 226 238	898303284362
SPT(16)	3091644531713385017	0 2 6 32 54 60 104 152 174 222 266 272 294 320 324 326	916981518408