Prime p₀= 2310432019765239047 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2310430754866957543	0 6 18 66 94 118 130 148 156 174 186 210 238 286 298 304	-1264898281504
STPT(10)	2310430812386317601	0 2 36 38 78 80 120 122 156 158	-1207378921446
STPT(10)	2310430983680169599	0 2 18 20 30 32 42 44 60 62	-1036085069448
SPT(16)	2310431230375929877	0 6 24 30 72 76 94 142 144 192 210 214 256 262 280 286	-789389309170
SPT(16)	2310431246706872921	0 2 36 56 60 66 78 158 210 290 302 308 312 332 366 368	-773058366126
SPT(16)	2310431714992028179	0 12 48 70 100 114 144 172 210 238 268 282 312 334 370 382	-304773210868
SPT(16)	2310432433288253581	0 10 102 118 130 156 186 196 282 292 322 348 360 376 468 478	413523014534
SPT(16)	2310432502179681643	0 4 30 54 60 70 88 108 130 150 168 178 184 208 234 238	482414442596
SPT(16)	2310432672109766681	0 2 26 32 60 80 102 126 152 176 198 218 246 252 276 278	652344527634
SPT(16)	2310433362454328147	0 44 54 80 84 86 150 156 194 200 264 266 270 296 306 350	1342689089100
SPT(16)	2310433368494693773	0 6 58 64 66 78 90 126 178 214 226 238 240 246 298 304	1348729454726