Prime p₀= 2706939716100459767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2706937644063429377	0 2 30 32 42 44 54 56 84 86	-2072037030390
SPT(16)	2706938190888778333	0 4 36 60 70 78 106 120 154 168 196 204 214 238 270 274	-1525211681434
SPT(16)	2706938867444448139	0 28 60 72 94 142 144 198 214 268 270 318 340 352 384 412	-848656011628
SPT(16)	2706939255160401913	0 36 64 78 100 120 130 138 196 204 214 234 256 270 298 334	-460940057854
STPT(10)	2706939479352516407	0 2 24 26 42 44 60 62 84 86	-236747943360
SPT(16)	2706939636884743597	0 12 42 52 64 72 94 100 204 210 232 240 252 262 292 304	-79215716170
SPT(16)	2706939736983320383	0 6 30 34 46 48 54 70 114 130 136 138 150 154 178 184	20882860616
STPT(10)	2706939795533001599	0 2 18 20 30 32 42 44 60 62	79432541832
TPT(14)	2706940045864052861	0 2 18 20 30 32 36 38 78 80 90 92 210 212	329763593094
TPT(14)	2706940207361837147	0 2 24 26 42 44 114 116 150 152 180 182 192 194	491261377380
SPT(16)	2706940427838045019	0 12 70 90 112 124 144 154 180 190 210 222 244 264 322 334	711737585252