Prime p₀= 2516289580922993969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JohnMD
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2516287786237513129	0 22 34 52 78 90 112 162 190 240 262 274 300 318 330 352	-1794685480840
STPT(10)	2516288347596048197	0 2 30 32 42 44 54 56 84 86	-1233326945772
SPT(16)	2516288549888792687	0 42 54 60 74 86 92 116 120 144 150 162 176 182 194 236	-1031034201282
STPT(10)	2516289132753987671	0 2 90 92 150 152 210 212 300 302	-448169006298
STPT(10)	2516289276833704751	0 2 36 38 78 80 120 122 156 158	-304089289218
SPT(16)	2516289333767427913	0 16 66 126 190 198 286 316 330 360 448 456 520 580 630 646	-247155566056
STPT(10)	2516289601953984221	0 2 30 32 78 80 126 128 156 158	21030990252
SPT(16)	2516289753378744251	0 20 60 68 126 140 152 216 242 306 318 332 390 398 438 458	172455750282
STPT(10)	2516290103623253057	0 2 42 44 72 74 102 104 144 146	522700259088
STPT(10)	2516290120422974681	0 2 30 32 78 80 126 128 156 158	539499980712
STPT(10)	2516290182037346357	0 2 24 26 42 44 60 62 84 86	601114352388