Prime p₀= 2456229857555033249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2456228922083532901	0 12 42 70 76 82 126 180 232 286 330 336 342 370 400 412	-935471500348
STPT(10)	2456228928916205879	0 2 42 44 60 62 78 80 120 122	-928638827370
STPT(10)	2456229019021203857	0 2 54 56 72 74 90 92 144 146	-838533829392
SPT(16)	2456229107701265587	0 4 40 52 70 82 106 120 136 150 174 186 204 216 252 256	-749853767662
SPT(16)	2456229148764276989	0 8 42 54 90 102 110 120 122 132 140 152 188 200 234 242	-708790756260
STPT(10)	2456229568834299287	0 2 30 32 42 44 54 56 84 86	-288720733962
STPT(10)	2456229892414510517	0 2 30 32 42 44 54 56 84 86	34859477268
SPT(16)	2456230658683055801	0 32 98 126 140 158 200 222 266 288 330 348 362 390 456 488	801128022552
SPT(16)	2456230749803788891	0 22 58 70 90 148 162 222 226 286 300 358 378 390 426 448	892248755642
SPT(16)	2456230998151878271	0 22 46 52 76 88 90 102 136 148 150 162 186 192 216 238	1140596845022
STPT(10)	2456231220255962027	0 2 84 86 132 134 180 182 264 266	1362700928778