Prime p₀= 2182112900439927617 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2182110861091592029	0 34 40 54 70 82 124 162 172 210 252 264 280 294 300 334	-2039348335588
STPT(10)	2182110968203014551	0 2 66 68 108 110 150 152 216 218	-1932236913066
TPT(14)	2182111033443153227	0 2 30 32 72 74 162 164 240 242 372 374 420 422	-1866996774390
TPT(14)	2182111674355157729	0 2 30 32 42 44 162 164 198 200 228 230 312 314	-1226084769888
STPT(10)	2182112248757989811	0 2 6 8 48 50 90 92 96 98	-651681937806
SPT(16)	2182112784266298661	0 42 70 136 166 180 198 222 226 250 268 282 312 378 406 448	-116173628956
SPT(16)	2182113312030208013	0 20 140 146 158 210 218 270 314 366 374 426 438 444 564 584	411590280396
SPT(16)	2182113692880806953	0 16 24 28 30 58 66 90 94 118 126 154 156 160 168 184	792440879336
SPT(16)	2182113779595540421	0 10 22 28 78 102 108 112 186 190 196 220 270 276 288 298	879155612804
STPT(12)	2182113937334414219	0 2 12 14 42 44 78 80 108 110 120 122	1036894486602
STPT(10)	2182114487061003497	0 2 30 32 72 74 114 116 144 146	1586621075880