Prime p₀= 2116973841257110007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

STPT(10)	2116972396061043509	0 2 18 20 30 32 42 44 60 62	-1445196066498
STPT(10)	2116972852626604727	0 2 42 44 72 74 102 104 144 146	-988630505280
STPT(10)	2116972925689256021	0 2 30 32 78 80 126 128 156 158	-915567853986
TPT(14)	2116973403117513179	0 2 30 32 42 44 72 74 150 152 282 284 348 350	-438139596828
SPT(18)	2116973548703715259	0 70 82 108 148 172 174 210 288 304 382 418 420 444 484 510 522 592	-292553394748
STPT(10)	2116973794674574877	0 2 30 32 42 44 54 56 84 86	-46582535130
SPT(16)	2116973848828696321	0 10 58 70 76 112 126 132 136 142 156 192 198 210 258 268	7571586314
SPT(16)	2116973887487876603	0 20 30 54 86 98 134 146 168 180 216 228 260 284 294 314	46230766596
SPT(16)	2116974028796306599	0 82 112 124 148 160 184 208 234 258 282 294 318 330 360 442	187539196592
SPT(16)	2116974360295758181	0 60 70 180 190 238 256 262 366 372 390 438 448 558 568 628	519038648174
SPT(16)	2116974868978321817	0 2 14 20 44 62 204 212 252 260 402 420 444 450 462 464	1027721211810