Prime p₀= 2566614797452816931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2566613536136298191	0 2 6 8 48 50 90 92 96 98	-1261316518740
STPT(10)	2566613775096905627	0 2 30 32 60 62 90 92 120 122	-1022355911304
SPT(16)	2566614554369036167	0 6 34 36 52 54 94 124 162 192 232 234 250 252 280 286	-243083780764
SPT(16)	2566614562189370461	0 18 40 52 60 82 90 96 172 178 186 208 216 228 250 268	-235263446470
STPT(10)	2566614603080449679	0 2 18 20 30 32 42 44 60 62	-194372367252
STPT(10)	2566614646866468239	0 2 18 20 30 32 42 44 60 62	-150586348692
STPT(10)	2566615914318652907	0 2 12 14 42 44 72 74 84 86	1116865835976
SPT(16)	2566616016910610009	0 42 44 60 78 98 102 108 134 140 144 164 182 198 200 242	1219457793078
SPT(16)	2566616285090166157	0 30 94 106 120 142 150 156 280 286 294 316 330 342 406 436	1487637349226
TPT(14)	2566616404485740837	0 2 42 44 60 62 72 74 114 116 150 152 192 194	1607032923906
SPT(16)	2566616514188836807	0 22 24 34 42 52 112 120 124 132 192 202 210 220 222 244	1716736019876