Prime p₀= 2564844160010554307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2564843628386309287	0 10 12 42 120 132 180 216 226 262 310 322 400 430 432 442	-531624245020
SPT(16)	2564843681357018471	0 18 42 56 68 90 116 126 242 252 278 300 312 326 350 368	-478653535836
SPT(16)	2564843701834829959	0 60 70 108 148 154 162 174 208 220 228 234 274 312 322 382	-458175724348
SPT(16)	2564843755956095099	0 2 44 72 84 110 114 122 222 230 234 260 272 300 342 344	-404054459208
STPT(10)	2564843843171117489	0 2 18 20 60 62 102 104 120 122	-316839436818
SPT(16)	2564843911221988337	0 44 74 86 110 126 144 156 170 182 200 216 240 252 282 326	-248788565970
SPT(16)	2564844197053450913	0 24 60 80 98 156 164 186 278 300 308 366 384 404 440 464	37042896606
STPT(10)	2564844275419931801	0 2 6 8 18 20 30 32 36 38	115409377494
SPT(16)	2564844481097168651	0 2 12 36 56 66 86 108 320 342 362 372 392 416 426 428	321086614344
SPT(16)	2564845188770279231	0 6 38 68 78 108 122 150 218 246 260 290 300 330 362 368	1028759724924
SPT(16)	2564845411281157307	0 72 86 122 144 156 162 164 252 254 260 272 294 330 344 416	1251270603000