Prime p₀= 2451584270059413689 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: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2451582682237814959	0 4 12 18 40 78 82 138 214 270 274 312 334 340 348 352	-1587821598730
TPT(14)	2451583250911671341	0 2 48 50 90 92 150 152 168 170 210 212 318 320	-1019147742348
STPT(10)	2451583404788497949	0 2 12 14 30 32 48 50 60 62	-865270915740
SPT(16)	2451583999297675381	0 60 72 102 150 168 172 228 250 306 310 328 376 406 418 478	-270761738308
SPT(18)	2451584131808237051	0 20 62 72 80 110 132 140 150 152 162 170 192 222 230 240 282 302	-138251176638
SPT(16)	2451584214229303451	0 6 18 56 62 78 90 102 116 128 140 156 162 200 212 218	-55830110238
STPT(10)	2451584424677709017	0 2 12 14 72 74 132 134 144 146	154618295328
STPT(10)	2451584479218157079	0 2 18 20 30 32 42 44 60 62	209158743390
SPT(16)	2451584844538636907	0 6 42 80 84 146 156 174 242 260 270 332 336 374 410 416	574479223218
SPT(16)	2451585219142481743	0 24 28 34 54 70 84 138 250 304 318 334 354 360 364 388	949083068054
STPT(10)	2451585263367546749	0 2 18 20 60 62 102 104 120 122	993308133060