Prime p₀= 1294122660485147417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1294121594454920659	0 22 30 54 64 72 142 150 184 192 262 270 280 304 312 334	-1066030226758
SPT(16)	1294121849499987811	0 18 42 46 88 112 150 270 328 448 486 510 552 556 580 598	-810985159606
SPT(16)	1294121925422731861	0 10 16 58 106 136 190 192 196 198 252 282 330 372 378 388	-735062415556
STPT(10)	1294122265857771599	0 2 18 20 30 32 42 44 60 62	-394627375818
STPT(10)	1294122354915184271	0 2 36 38 78 80 120 122 156 158	-305569963146
SPT(16)	1294122572939080531	0 28 30 52 82 126 136 148 240 252 262 306 336 358 360 388	-87546066886
STPT(10)	1294123035957569339	0 2 18 20 30 32 42 44 60 62	375472421922
STPT(10)	1294123315293885467	0 2 30 32 42 44 54 56 84 86	654808738050
TPT(14)	1294123352726655287	0 2 12 14 72 74 90 92 102 104 180 182 210 212	692241507870
STPT(10)	1294123357272666449	0 2 12 14 90 92 168 170 180 182	696787519032
SPT(16)	1294124247501757219	0 10 30 42 48 130 172 198 214 240 282 364 370 382 402 412	1587016609802