Prime p₀= 2356872256691574467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: arkiss
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2356870300838435267	0 2 12 14 72 74 132 134 144 146	-1955853139200
SPT(16)	2356871356036079081	0 2 30 56 62 66 72 90 122 140 146 150 156 182 210 212	-900655495386
STPT(10)	2356871365487656091	0 2 6 8 48 50 90 92 96 98	-891203918376
SPT(16)	2356871449547828333	0 66 80 96 110 138 168 200 204 236 266 294 308 324 338 404	-807143746134
SPT(16)	2356871473659014159	0 2 42 128 150 152 158 180 212 234 240 242 264 350 390 392	-783032560308
SPT(20)	2356872216615793813	0 6 30 40 54 154 208 226 244 258 346 360 378 396 450 550 564 574 598 604	-40075780654
SPT(18)	2356872286094993509	0 52 82 90 178 220 232 238 258 322 342 348 360 402 490 498 528 580	29403419042
SPT(16)	2356872313093327481	0 6 8 60 90 110 158 180 266 288 336 356 386 438 440 446	56401753014
SPT(16)	2356872392665867499	0 12 30 78 140 180 212 218 252 258 290 330 392 440 458 470	135974293032
SPT(16)	2356872607574061581	0 6 20 78 158 198 288 296 312 320 410 450 530 588 602 608	350882487114
STPT(10)	2356872781303466549	0 2 12 14 30 32 48 50 60 62	524611892082