Prime p₀= 2310445359503710571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: FritzB
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2310444600949518829	0 24 28 34 94 160 178 204 208 234 252 318 378 384 388 412	-758554191742
STPT(10)	2310444686952311837	0 2 42 44 72 74 102 104 144 146	-672551398734
SPT(16)	2310444723256030717	0 6 54 72 102 156 160 174 292 306 310 364 394 412 460 466	-636247679854
SPT(16)	2310444755919337013	0 6 14 74 86 98 126 146 168 188 216 228 240 300 308 314	-603584373558
SPT(16)	2310444806580090373	0 6 34 46 118 156 198 226 228 256 298 336 408 420 448 454	-552923620198
SPT(16)	2310444930891554819	0 60 62 84 90 102 152 164 168 180 230 242 248 270 272 332	-428612155752
STPT(10)	2310445471758724187	0 2 30 32 42 44 54 56 84 86	112255013616
SPT(16)	2310446340678032329	0 42 48 70 78 138 178 180 190 192 232 292 300 322 328 370	981174321758
STPT(10)	2310446363628299129	0 2 48 50 60 62 72 74 120 122	1004124588558
STPT(10)	2310446452159453637	0 2 12 14 42 44 72 74 84 86	1092655743066
SPT(16)	2310446617701475949	0 42 50 68 72 114 134 164 168 198 218 260 264 282 290 332	1258197765378