Prime p₀= 2302344064915903817 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: FritzB
db: batch=81, k=10, 2 10 2 58 2

TPT(14)	2302341706513932899	0 2 30 32 72 74 90 92 102 104 228 230 258 260	-2358401970918
SPT(16)	2302341853126976071	0 10 12 60 102 120 196 210 298 312 388 406 448 496 498 508	-2211788927746
SPT(16)	2302341929110901939	0 2 44 120 134 144 164 170 204 210 230 240 254 330 372 374	-2135805001878
SPT(16)	2302342005997409039	0 32 42 48 68 72 80 102 110 132 140 144 164 170 180 212	-2058918494778
TPT(14)	2302343120561276267	0 2 24 26 54 56 60 62 102 104 114 116 252 254	-944354627550
SPT(16)	2302343267887978723	0 4 18 58 70 100 106 234 280 408 414 444 456 496 510 514	-797027925094
STPT(10)	2302344079882020257	0 2 30 32 72 74 114 116 144 146	14966116440
SPT(16)	2302344557932160971	0 12 22 28 36 42 78 82 126 130 166 172 180 186 196 208	493016257154
STPT(10)	2302344574477271939	0 2 18 20 30 32 42 44 60 62	509561368122
SPT(16)	2302345252221044651	0 20 38 78 96 108 132 176 192 236 260 272 290 330 348 368	1187305140834
STPT(10)	2302345405360008257	0 2 12 14 42 44 72 74 84 86	1340444104440