Prime p₀= 2312280823372716137 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

STPT(10)	2312280313920120239	0 2 42 44 150 152 258 260 300 302	-509452595898
SPT(16)	2312280364562165167	0 4 36 52 84 120 126 214 252 340 346 382 414 430 462 466	-458810550970
SPT(16)	2312280383249571557	0 20 36 50 56 60 62 170 186 294 296 300 306 320 336 356	-440123144580
SPT(16)	2312280401255308241	0 2 20 30 60 102 116 132 140 156 170 212 242 252 270 272	-422117407896
SPT(16)	2312280464513191583	0 6 80 120 144 204 234 246 374 386 416 476 500 540 614 620	-358859524554
STPT(10)	2312280755139676379	0 2 42 44 60 62 78 80 120 122	-68233039758
STPT(10)	2312280889382531537	0 2 30 32 42 44 54 56 84 86	66009815400
SPT(16)	2312281302588333631	0 48 58 88 118 130 150 156 190 196 216 228 258 288 298 346	479215617494
SPT(16)	2312281488697117489	0 12 34 40 54 58 60 82 90 112 114 118 132 138 160 172	665324401352
SPT(16)	2312281819091706983	0 14 24 48 54 80 140 146 198 204 264 290 296 320 330 344	995718990846
STPT(10)	2312283219047372189	0 2 48 50 90 92 132 134 180 182	2395674656052