Prime p₀= 2451585263367546749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2451584214229303451	0 6 18 56 62 78 90 102 116 128 140 156 162 200 212 218	-1049138243298
STPT(10)	2451584270059413689	0 2 12 14 90 92 168 170 180 182	-993308133060
STPT(10)	2451584424677709017	0 2 12 14 72 74 132 134 144 146	-838689837732
STPT(10)	2451584479218157079	0 2 18 20 30 32 42 44 60 62	-784149389670
SPT(16)	2451584844538636907	0 6 42 80 84 146 156 174 242 260 270 332 336 374 410 416	-418828909842
SPT(16)	2451585219142481743	0 24 28 34 54 70 84 138 250 304 318 334 354 360 364 388	-44225065006
SPT(16)	2451585305698164413	0 60 96 114 138 140 164 186 248 270 294 296 320 338 374 434	42330617664
SPT(16)	2451585640162139801	0 26 60 80 90 108 110 116 132 138 140 158 168 188 222 248	376794593052
STPT(10)	2451585907550885891	0 2 36 38 78 80 120 122 156 158	644183339142
STPT(10)	2451587156843032259	0 2 42 44 60 62 78 80 120 122	1893475485510
STPT(10)	2451587296224248069	0 2 18 20 30 32 42 44 60 62	2032856701320