Prime p₀= 2804599665112687859 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

TPT(14)	2804598398209510697	0 2 54 56 90 92 144 146 342 344 354 356 552 554	-1266903177162
STPT(10)	2804598486087799169	0 2 18 20 30 32 42 44 60 62	-1179024888690
STPT(10)	2804598549359831009	0 2 42 44 60 62 78 80 120 122	-1115752856850
STPT(10)	2804598711401644007	0 2 54 56 132 134 210 212 264 266	-953711043852
STPT(10)	2804598776156920397	0 2 30 32 72 74 114 116 144 146	-888955767462
STPT(10)	2804599042234288457	0 2 30 32 72 74 114 116 144 146	-622878399402
SPT(16)	2804599979265450409	0 4 52 114 184 208 222 238 264 280 294 318 388 450 498 502	314152762550
SPT(16)	2804600125428138131	0 12 26 56 138 152 168 198 260 290 306 320 402 432 446 458	460315450272
SPT(16)	2804600185372827727	0 64 70 90 100 132 142 156 160 174 184 216 226 246 252 316	520260139868
STPT(10)	2804600190841634201	0 2 30 32 78 80 126 128 156 158	525728946342
STPT(10)	2804600306446729331	0 2 30 32 78 80 126 128 156 158	641334041472