Prime p₀= 2356732678260571379 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: ChUcK
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356731967143572597	0 20 24 42 62 126 150 174 302 326 350 414 434 452 456 476	-711116998782
STPT(10)	2356732078442709431	0 2 36 38 78 80 120 122 156 158	-599817861948
SPT(16)	2356732102655894527	0 16 46 64 72 82 84 90 196 202 204 214 222 240 270 286	-575604676852
SPT(16)	2356732340931318871	0 28 36 52 58 118 136 178 180 222 240 300 306 322 330 358	-337329252508
TPT(14)	2356732388222387339	0 2 108 110 180 182 192 194 402 404 462 464 498 500	-290038184040
SPT(16)	2356732398395848079	0 12 18 32 50 78 98 120 140 162 182 210 228 242 248 260	-279864723300
STPT(10)	2356733107440620729	0 2 18 20 30 32 42 44 60 62	429180049350
SPT(16)	2356733336530854713	0 6 48 50 60 68 104 126 158 180 216 224 234 236 278 284	658270283334
STPT(10)	2356733738916782567	0 2 24 26 42 44 60 62 84 86	1060656211188
SPT(16)	2356733983548904051	0 60 70 102 108 126 138 196 252 310 322 340 346 378 388 448	1305288332672
SPT(16)	2356734138298179659	0 8 42 54 78 84 110 120 152 162 188 194 218 230 264 272	1460037608280