Prime p₀= 2051902512508708001 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: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2051901749692493953	0 28 34 46 66 108 130 150 154 174 196 238 258 270 276 304	-762816214048
STPT(10)	2051901824581967957	0 2 30 32 42 44 54 56 84 86	-687926740044
SPT(16)	2051901935511262903	0 4 34 60 70 84 96 148 186 238 250 264 274 300 330 334	-576997445098
STPT(10)	2051901938093565167	0 2 30 32 42 44 54 56 84 86	-574415142834
STPT(10)	2051902135662345059	0 2 42 44 60 62 78 80 120 122	-376846362942
SPT(16)	2051902435843902181	0 30 42 72 106 108 126 130 168 172 190 192 226 256 268 298	-76664805820
STPT(10)	2051902561328608127	0 2 42 44 72 74 102 104 144 146	48819900126
TPT(14)	2051902612663591529	0 2 30 32 72 74 90 92 210 212 270 272 312 314	100154883528
STPT(10)	2051902805943614681	0 2 30 32 78 80 126 128 156 158	293434906680
SPT(18)	2051902838969252869	0 28 40 78 90 144 162 174 178 204 208 220 238 292 304 342 354 382	326460544868
SPT(18)	2051903108587523923	0 4 28 88 124 130 166 190 228 436 474 498 534 540 576 636 660 664	596078815922