Prime p₀= 2367422558229398309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2367421092727275437	0 14 20 24 42 102 110 114 140 144 152 212 230 234 240 254	-1465502122872
SPT(16)	2367421107888347471	0 102 108 120 176 186 242 252 266 276 332 342 398 410 416 518	-1450341050838
STPT(10)	2367421150300223747	0 2 30 32 72 74 114 116 144 146	-1407929174562
STPT(10)	2367421861614787277	0 2 24 26 42 44 60 62 84 86	-696614611032
SPT(16)	2367421904087172761	0 2 12 50 90 126 132 140 168 176 182 218 258 296 306 308	-654142225548
STPT(10)	2367422284269594191	0 2 6 8 48 50 90 92 96 98	-273959804118
STPT(10)	2367422696972976239	0 2 18 20 60 62 102 104 120 122	138743577930
STPT(10)	2367422757347333867	0 2 30 32 42 44 54 56 84 86	199117935558
STPT(10)	2367422799499835807	0 2 30 32 72 74 114 116 144 146	241270437498
SPT(16)	2367422898279511141	0 6 42 90 166 198 210 216 262 268 280 312 388 436 472 478	340050112832
STPT(10)	2367422914912551677	0 2 30 32 42 44 54 56 84 86	356683153368