Prime p₀= 2531142830781980711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2531142291392000113	0 6 24 60 64 94 130 174 190 234 270 300 304 340 358 364	-539389980598
SPT(16)	2531142323303121067	0 24 66 70 72 94 100 114 262 276 282 304 306 310 352 376	-507478859644
STPT(10)	2531142350785460297	0 2 30 32 42 44 54 56 84 86	-479996520414
STPT(10)	2531142631532583119	0 2 18 20 60 62 102 104 120 122	-199249397592
SPT(16)	2531142647572777279	0 30 48 60 70 72 108 150 262 304 340 342 352 364 382 412	-183209203432
STPT(10)	2531142828980703149	0 2 42 44 60 62 78 80 120 122	-1801277562
SPT(16)	2531142941564357479	0 52 100 108 118 132 154 172 300 318 340 354 364 372 420 472	110782376768
STPT(10)	2531143180363026077	0 2 30 32 60 62 90 92 120 122	349581045366
STPT(10)	2531143502237054951	0 2 36 38 78 80 120 122 156 158	671455074240
TPT(16)	2531143664188528847	0 2 12 14 84 86 132 134 162 164 300 302 360 362 402 404	833406548136
SPT(16)	2531143994972623207	0 4 46 52 60 112 150 156 190 196 234 286 294 300 342 346	1164190642496