Prime p₀= 2512716176439862847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2512715025555219721	0 42 82 106 130 136 166 186 196 216 246 252 276 300 340 382	-1150884643126
STPT(12)	2512715109052223819	0 2 42 44 72 74 168 170 198 200 240 242	-1067387639028
SPT(16)	2512715831189341469	0 2 44 48 72 138 164 180 182 198 224 290 314 318 360 362	-345250521378
TPT(14)	2512716010600410161	0 2 30 32 96 98 108 110 150 152 156 158 198 200	-165839452686
TPT(14)	2512716133855229999	0 2 48 50 72 74 90 92 102 104 222 224 378 380	-42584632848
TPT(14)	2512716176439862751	0 2 96 98 120 122 138 140 156 158 180 182 198 200	-96
SPT(16)	2512716415465306949	0 20 38 54 104 120 138 140 162 164 182 198 248 264 282 302	239025444102
STPT(10)	2512716510197460731	0 2 66 68 108 110 150 152 216 218	333757597884
SPT(16)	2512716637038249617	0 24 54 56 110 150 156 164 252 260 266 306 360 362 392 416	460598386770
SPT(16)	2512716730027621163	0 14 36 56 90 116 120 138 386 404 408 434 468 488 510 524	553587758316
STPT(10)	2512717008062576057	0 2 30 32 42 44 54 56 84 86	831622713210