Prime p₀= 1561015449485912657 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: Theadalus
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1561013614584519229	0 18 30 58 60 102 172 184 198 210 280 322 324 352 364 382	-1834901393428
SPT(16)	1561013975469893647	0 6 10 22 24 72 82 112 204 234 244 292 294 306 310 316	-1474016019010
SPT(16)	1561014205787522377	0 16 30 34 82 114 250 262 264 276 412 444 492 496 510 526	-1243698390280
STPT(10)	1561014564100918037	0 2 42 44 72 74 102 104 144 146	-885384994620
SPT(16)	1561014763771232621	0 62 66 126 140 146 150 168 200 218 222 228 242 302 306 368	-685714680036
SPT(16)	1561014881354891789	0 12 68 110 114 134 140 162 260 282 288 308 312 354 410 422	-568131020868
SPT(16)	1561015677116242069	0 22 30 52 72 84 94 100 114 120 130 142 162 184 192 214	227630329412
STPT(10)	1561015792271072237	0 2 60 62 102 104 144 146 204 206	342785159580
STPT(10)	1561015953160997519	0 2 18 20 30 32 42 44 60 62	503675084862
STPT(12)	1561016380290880757	0 2 30 32 72 74 252 254 294 296 324 326	930804968100
TPT(14)	1561016529575680739	0 2 48 50 72 74 78 80 102 104 168 170 210 212	1080089768082