Prime p₀= 2333260296222290999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: vinn@[CNT]
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2333257190171384159	0 18 44 60 62 92 102 104 168 170 180 210 212 228 254 272	-3106050906840
SPT(16)	2333257358512850251	0 16 28 66 70 82 88 96 172 180 186 198 202 240 252 268	-2937709440748
STPT(10)	2333257374501561017	0 2 42 44 72 74 102 104 144 146	-2921720729982
SPT(16)	2333257459874187443	0 20 60 78 108 114 174 186 188 200 260 266 296 314 354 374	-2836348103556
STPT(10)	2333257561599143831	0 2 36 38 78 80 120 122 156 158	-2734623147168
SPT(16)	2333259392338546069	0 10 12 112 118 132 138 142 168 172 178 192 198 298 300 310	-903883744930
SPT(16)	2333260321719163813	0 18 36 70 78 106 124 160 174 210 228 256 264 298 316 334	25496872814
SPT(16)	2333260453240053151	0 16 58 112 150 156 192 196 222 226 262 268 306 360 402 418	157017762152
SPT(18)	2333260752524389561	0 58 76 90 136 198 258 276 286 300 310 328 388 450 496 510 528 586	456302098562
SPT(16)	2333260859351221637	0 12 54 84 126 132 134 146 180 192 194 200 242 272 314 326	563128930638
STPT(10)	2333261026755877217	0 2 24 26 42 44 60 62 84 86	730533586218