Prime p₀= 2313507075025540577 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2313506411697070279	0 4 22 34 40 78 84 144 148 208 214 252 258 270 288 292	-663328470298
STPT(10)	2313506460768617507	0 2 30 32 42 44 54 56 84 86	-614256923070
STPT(10)	2313506482616815217	0 2 30 32 42 44 54 56 84 86	-592408725360
SPT(16)	2313506723589176671	0 28 30 72 90 106 112 132 136 156 162 178 196 238 240 268	-351436363906
STPT(10)	2313506814184000607	0 2 42 44 72 74 102 104 144 146	-260841539970
SPT(16)	2313506972505624421	0 12 16 18 30 58 60 120 148 208 210 238 250 252 256 268	-102519916156
STPT(10)	2313507222678935069	0 2 48 50 90 92 132 134 180 182	147653394492
STPT(10)	2313507647133311771	0 2 6 8 18 20 30 32 36 38	572107771194
SPT(16)	2313507654492913579	0 10 64 82 84 130 138 142 150 154 162 208 210 228 282 292	579467373002
SPT(16)	2313508311461246059	0 40 54 70 112 114 138 142 240 244 268 270 312 328 342 382	1236435705482
STPT(10)	2313508599913630277	0 2 54 56 72 74 90 92 144 146	1524888089700