Prime p₀= 2507710873187421269 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: Hightower
db: batch=82, k=10, 2 16 2 10 2

TPT(16)	2507709770029588037	0 2 84 86 90 92 102 104 114 116 144 146 264 266 300 302	-1103157833232
STPT(10)	2507709968230606169	0 2 30 32 60 62 90 92 120 122	-904956815100
SPT(16)	2507710336343037919	0 10 18 60 100 142 178 228 244 294 330 372 412 454 462 472	-536844383350
TPT(14)	2507710363054510487	0 2 30 32 84 86 222 224 234 236 240 242 354 356	-510132910782
STPT(10)	2507710363327878719	0 2 48 50 90 92 132 134 180 182	-509859542550
STPT(10)	2507710526258044379	0 2 18 20 30 32 42 44 60 62	-346929376890
TPT(16)	2507710921503154481	0 2 36 38 78 80 156 158 186 188 228 230 366 368 408 410	48315733212
TPT(14)	2507712373277749697	0 2 42 44 234 236 360 362 372 374 384 386 432 434	1500090328428
SPT(16)	2507713197637044647	0 26 134 150 222 230 326 362 384 420 516 524 596 612 720 746	2324449623378
SPT(16)	2507713598449002011	0 48 90 92 96 120 158 180 188 210 248 272 276 278 320 368	2725261580742
SPT(16)	2507713882868098979	0 12 48 68 72 74 92 114 158 180 198 200 204 224 260 272	3009680677710