Prime p₀= 2727872761699602677 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: Dirk Broer
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2727871416233019569	0 2 42 44 60 62 78 80 120 122	-1345466583108
SPT(16)	2727871750453430153	0 6 48 96 108 110 138 150 224 236 264 266 278 326 368 374	-1011246172524
SPT(16)	2727871763813830577	0 56 60 102 132 180 182 192 230 240 242 290 320 362 366 422	-997885772100
STPT(10)	2727872155974619019	0 2 42 44 60 62 78 80 120 122	-605724983658
STPT(10)	2727872386019871191	0 2 6 8 48 50 90 92 96 98	-375679731486
SPT(16)	2727872616148928701	0 36 90 102 148 162 172 220 228 276 286 300 346 358 412 448	-145550673976
SPT(16)	2727873048326814893	0 74 96 98 114 126 164 176 228 240 278 290 306 308 330 404	286627212216
SPT(16)	2727873072369189509	0 50 72 78 90 92 128 144 188 204 240 242 254 260 282 332	310669586832
TPT(14)	2727873694800340061	0 2 6 8 138 140 336 338 360 362 378 380 390 392	933100737384
STPT(10)	2727874214215545137	0 2 12 14 42 44 72 74 84 86	1452515942460
SPT(16)	2727874322696504309	0 30 60 74 84 98 102 122 150 170 174 188 198 212 242 272	1560996901632