Prime p₀= 2109634672956544577 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: retroactivemind
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2109633902690343067	0 24 42 84 114 136 154 180 346 372 390 412 442 484 502 526	-770266201510
SPT(16)	2109634016169458651	0 48 90 116 132 146 158 176 192 210 222 236 252 278 320 368	-656787085926
TPT(14)	2109634228924293989	0 2 12 14 30 32 78 80 168 170 210 212 282 284	-444032250588
SPT(16)	2109634412627734261	0 12 58 90 136 150 202 208 210 216 268 282 328 360 406 418	-260328810316
SPT(16)	2109634517880180391	0 16 28 58 118 126 130 168 220 258 262 270 330 360 372 388	-155076364186
STPT(10)	2109634636697008781	0 2 6 8 48 50 90 92 96 98	-36259535796
SPT(16)	2109634902495376979	0 8 60 78 84 114 144 170 198 224 254 284 290 308 360 368	229538832402
SPT(16)	2109635000488130681	0 56 60 66 108 132 146 152 186 192 206 230 272 278 282 338	327531586104
STPT(10)	2109636180142527299	0 2 48 50 90 92 132 134 180 182	1507185982722
SPT(16)	2109636942416690371	0 12 72 136 156 180 210 222 280 292 322 346 366 430 490 502	2269460145794
STPT(10)	2109637144361336267	0 2 30 32 42 44 54 56 84 86	2471404791690