Prime p₀= 2307123133270701047 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2307120880421928091	0 22 58 112 136 138 166 190 198 222 250 252 276 330 366 388	-2252848772956
SPT(16)	2307121314801089749	0 48 58 70 112 180 190 240 250 300 310 378 420 432 442 490	-1818469611298
STPT(10)	2307122556222078767	0 2 30 32 42 44 54 56 84 86	-577048622280
SPT(16)	2307122732790184961	0 38 78 98 108 116 122 126 242 246 252 260 270 290 330 368	-400480516086
STPT(10)	2307122788788767639	0 2 18 20 30 32 42 44 60 62	-344481933408
STPT(10)	2307123132806406329	0 2 18 20 30 32 42 44 60 62	-464294718
SPT(16)	2307123252961276907	0 6 24 26 42 54 66 72 104 110 122 134 150 152 170 176	119690575860
SPT(16)	2307123334441205321	0 20 32 48 86 96 150 152 186 188 242 252 290 306 318 338	201170504274
SPT(16)	2307123781940333299	0 4 10 52 72 88 118 142 210 234 264 280 300 342 348 352	648669632252
SPT(16)	2307123880455482369	0 2 30 42 128 134 158 164 198 204 228 234 320 332 360 362	747184781322
SPT(16)	2307124582810988173	0 4 28 46 84 100 168 186 268 286 354 370 408 426 450 454	1449540287126