Prime p₀= 2512850564600325797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2512848705116846221	0 10 46 60 102 108 126 132 136 142 160 166 208 222 258 268	-1859483479576
SPT(16)	2512849203463538777	0 6 14 50 74 80 102 126 140 164 186 192 216 252 260 266	-1361136787020
STPT(10)	2512849315906553381	0 2 6 8 18 20 30 32 36 38	-1248693772416
SPT(16)	2512849536402568591	0 16 28 30 78 82 90 96 142 148 156 160 208 210 222 238	-1028197757206
SPT(16)	2512850495958084869	0 20 30 42 44 68 90 104 108 122 144 168 170 182 192 212	-68642240928
SPT(16)	2512850504087790761	0 12 20 30 42 72 96 116 126 146 170 200 212 222 230 242	-60512535036
TPT(14)	2512850611380455207	0 2 24 26 42 44 162 164 234 236 264 266 294 296	46780129410
SPT(16)	2512850966753009059	0 22 30 58 72 78 108 118 144 154 184 190 204 232 240 262	402152683262
TPT(14)	2512851009766620167	0 2 54 56 150 152 162 164 204 206 210 212 240 242	445166294370
STPT(10)	2512851022227467039	0 2 18 20 30 32 42 44 60 62	457627141242
SPT(16)	2512851153714333097	0 4 94 102 120 154 232 292 402 462 540 574 592 600 690 694	589114007300