Prime p₀= 2153351863579787069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2153351080596188309	0 2 12 14 90 92 168 170 180 182	-782983598760
STPT(10)	2153351208939760601	0 2 30 32 78 80 126 128 156 158	-654640026468
STPT(10)	2153351370193276217	0 2 30 32 42 44 54 56 84 86	-493386510852
SPT(16)	2153351495948635579	0 18 28 42 102 108 132 142 270 280 304 310 370 384 394 412	-367631151490
STPT(10)	2153351534098496057	0 2 30 32 42 44 54 56 84 86	-329481291012
SPT(16)	2153351720604714859	0 28 40 54 78 144 168 180 238 250 274 340 364 378 390 418	-142975072210
SPT(16)	2153352120329986997	0 12 26 36 50 56 72 222 224 374 390 396 410 420 434 446	256750199928
STPT(10)	2153352583753384829	0 2 12 14 30 32 48 50 60 62	720173597760
SPT(16)	2153352646695345307	0 6 24 34 46 130 136 142 144 150 156 240 252 262 280 286	783115558238
STPT(10)	2153352689423734217	0 2 12 14 42 44 72 74 84 86	825843947148
TPT(14)	2153352761372879279	0 2 90 92 288 290 300 302 378 380 402 404 432 434	897793092210