Prime p₀= 1467717642477798557 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: Theadalus
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1467716997923541773	0 14 44 66 78 126 134 140 144 150 158 206 218 240 270 284	-644554256784
STPT(10)	1467717111201707489	0 2 12 14 30 32 48 50 60 62	-531276091068
STPT(10)	1467717426312210497	0 2 12 14 72 74 132 134 144 146	-216165588060
SPT(16)	1467717431029448033	0 24 50 54 86 96 134 138 266 270 308 318 350 354 380 404	-211448350524
SPT(16)	1467717454190546201	0 18 30 66 96 128 132 158 180 206 210 242 272 308 320 338	-188287252356
SPT(16)	1467717560630918621	0 36 38 90 120 146 150 176 222 248 252 278 308 360 362 398	-81846879936
STPT(10)	1467717970001822171	0 2 6 8 48 50 90 92 96 98	327524023614
SPT(16)	1467718011220303111	0 48 66 126 132 150 156 178 390 412 418 436 442 502 520 568	368742504554
SPT(16)	1467718056781366111	0 40 52 78 166 178 190 192 196 198 210 222 310 336 348 388	414303567554
SPT(16)	1467718260950760437	0 2 6 50 56 84 90 110 156 176 182 210 216 260 264 266	618472961880
STPT(10)	1467718658943994937	0 2 30 32 42 44 54 56 84 86	1016466196380