Prime p₀= 2727738062743468727 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)	2727736219100027579	0 2 8 30 38 80 114 134 168 188 222 264 272 294 300 302	-1843643441148
SPT(16)	2727736477777670663	0 6 20 66 84 98 104 108 146 150 156 170 188 234 248 254	-1584965798064
STPT(10)	2727737326409952581	0 2 6 8 48 50 90 92 96 98	-736333516146
STPT(10)	2727737387997575477	0 2 30 32 42 44 54 56 84 86	-674745893250
STPT(10)	2727737728041624437	0 2 60 62 72 74 84 86 144 146	-334701844290
STPT(10)	2727737861206267067	0 2 12 14 72 74 132 134 144 146	-201537201660
STPT(10)	2727738127790958407	0 2 30 32 72 74 114 116 144 146	65047489680
STPT(10)	2727738131689935179	0 2 12 14 30 32 48 50 60 62	68946466452
SPT(16)	2727738175681702537	0 6 82 90 120 142 162 204 292 334 354 376 406 414 490 496	112938233810
SPT(16)	2727738474845076181	0 30 90 132 136 196 202 216 262 276 282 342 346 388 448 478	412101607454
SPT(16)	2727738618621339847	0 12 40 52 54 66 96 102 124 130 160 172 174 186 214 226	555877871120