Prime p₀= 2099419835541237029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2099417972545297919	0 50 74 78 102 110 128 140 282 294 312 320 344 348 372 422	-1862995939110
SPT(16)	2099418293240307437	0 6 32 60 66 114 126 140 156 170 182 230 236 264 290 296	-1542300929592
STPT(10)	2099418384189405161	0 2 36 38 78 80 120 122 156 158	-1451351831868
SPT(16)	2099418495253527209	0 2 42 60 72 98 182 188 234 240 324 350 362 380 420 422	-1340287709820
STPT(10)	2099418974904552359	0 2 42 44 60 62 78 80 120 122	-860636684670
TPT(16)	2099419252838550491	0 2 6 8 30 32 120 122 168 170 366 368 378 380 396 398	-582702686538
SPT(16)	2099419901323948691	0 12 26 50 66 80 92 116 186 210 222 236 252 276 290 302	65782711662
STPT(10)	2099419969960066067	0 2 12 14 42 44 72 74 84 86	134418829038
STPT(10)	2099420070959016887	0 2 12 14 72 74 132 134 144 146	235417779858
STPT(10)	2099420177886731879	0 2 12 14 90 92 168 170 180 182	342345494850
STPT(10)	2099420248174912679	0 2 78 80 120 122 162 164 240 242	412633675650