Prime p₀= 2051665356343446689 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

STPT(10)	2051664434113812779	0 2 18 20 30 32 42 44 60 62	-922229633910
STPT(10)	2051664549664868231	0 2 30 32 60 62 90 92 120 122	-806678578458
SPT(16)	2051664609473111077	0 34 64 120 144 174 180 222 232 274 280 310 334 390 420 454	-746870335612
SPT(16)	2051664950744355887	0 12 20 44 56 96 110 120 266 276 290 330 342 366 374 386	-405599090802
SPT(16)	2051664967286504767	0 4 36 60 112 136 142 172 204 234 240 264 316 340 372 376	-389056941922
TPT(14)	2051665356343446629	0 2 30 32 60 62 78 80 90 92 102 104 120 122	-60
SPT(16)	2051665771323867859	0 34 70 72 84 234 238 240 262 264 268 418 430 432 468 502	414980421170
TPT(14)	2051665794412299827	0 2 24 26 114 116 144 146 150 152 192 194 264 266	438068853138
STPT(10)	2051666573745987311	0 2 36 38 78 80 120 122 156 158	1217402540622
SPT(16)	2051666881217424431	0 2 36 72 86 122 176 186 266 276 330 366 380 416 450 452	1524873977742
STPT(12)	2051666993651800319	0 2 60 62 132 134 168 170 240 242 300 302	1637308353630