Prime p₀= 2213387207414231657 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: ginga
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2213385674282833637	0 2 30 32 72 74 114 116 144 146	-1533131398020
TPT(14)	2213386308451351529	0 2 60 62 210 212 222 224 240 242 378 380 420 422	-898962880128
TPT(14)	2213386652269025477	0 2 24 26 60 62 72 74 234 236 264 266 390 392	-555145206180
STPT(10)	2213386723397965691	0 2 36 38 78 80 120 122 156 158	-484016265966
SPT(16)	2213386847733817381	0 10 40 42 70 142 222 282 316 376 456 528 556 558 588 598	-359680414276
SPT(16)	2213387027211572767	0 22 90 112 114 150 156 162 184 190 196 232 234 256 324 346	-180202658890
STPT(10)	2213387379092129267	0 2 24 26 42 44 60 62 84 86	171677897610
STPT(10)	2213387394724549949	0 2 12 14 90 92 168 170 180 182	187310318292
SPT(16)	2213387436837804131	0 32 48 56 62 98 132 168 230 266 300 336 342 350 366 398	229423572474
STPT(10)	2213388004442253797	0 2 12 14 72 74 132 134 144 146	797028022140
SPT(16)	2213388076350742591	0 66 100 108 156 196 198 258 328 388 390 430 478 486 520 586	868936510934