Prime p₀= 2710946744134008431 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2710946086313827963	0 6 34 40 46 124 174 210 220 256 306 384 390 396 424 430	-657820180468
SPT(16)	2710946179790346847	0 4 30 46 90 96 100 112 114 126 130 136 180 196 222 226	-564343661584
STPT(10)	2710946339407363199	0 2 18 20 30 32 42 44 60 62	-404726645232
SPT(16)	2710946468243395139	0 8 32 38 44 72 104 134 198 228 260 288 294 300 324 332	-275890613292
SPT(16)	2710946469451394389	0 18 78 90 102 120 144 150 172 178 202 220 232 244 304 322	-274682614042
STPT(10)	2710946576764187087	0 2 42 44 72 74 102 104 144 146	-167369821344
TPT(14)	2710947004458386777	0 2 12 14 30 32 42 44 180 182 252 254 264 266	260324378346
SPT(16)	2710947405937493293	0 64 90 138 160 198 208 238 336 366 376 414 436 484 510 574	661803484862
STPT(10)	2710947442001754491	0 2 6 8 48 50 90 92 96 98	697867746060
SPT(16)	2710947750076430591	0 12 38 80 86 90 96 138 140 182 188 192 198 240 266 278	1005942422160
SPT(16)	2710947836555401021	0 10 12 28 46 106 112 126 172 186 192 252 270 286 288 298	1092421392590