Prime p₀= 2261208546687115187 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2261206864128221767	0 36 42 142 216 220 226 366 406 546 552 556 630 730 736 772	-1682558893420
STPT(10)	2261207104920716471	0 2 36 38 78 80 120 122 156 158	-1441766398716
SPT(16)	2261207148333280439	0 12 62 122 152 174 210 230 252 272 308 330 360 420 470 482	-1398353834748
SPT(16)	2261207547192710063	0 36 54 98 114 120 128 134 210 216 224 230 246 290 308 344	-999494405124
SPT(16)	2261207787279654131	0 2 18 116 120 140 156 188 240 272 288 308 312 410 426 428	-759407461056
STPT(10)	2261207803315214399	0 2 48 50 60 62 72 74 120 122	-743371900788
SPT(16)	2261208558571399081	0 30 52 88 130 166 178 192 256 270 282 318 360 396 418 448	11884283894
SPT(16)	2261208729092953061	0 2 38 42 48 56 60 122 276 338 342 350 356 360 396 398	182405837874
STPT(10)	2261208871560343097	0 2 30 32 42 44 54 56 84 86	324873227910
STPT(10)	2261208904222360397	0 2 30 32 42 44 54 56 84 86	357535245210
STPT(10)	2261209252956215447	0 2 54 56 72 74 90 92 144 146	706269100260