Prime p₀= 2999319910311685781 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: Roadranner
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2999318897985367471	0 22 48 78 106 108 120 150 178 208 220 222 250 280 306 328	-1012326318310
STPT(10)	2999319618012970139	0 2 18 20 30 32 42 44 60 62	-292298715642
STPT(10)	2999319662387334491	0 2 6 8 18 20 30 32 36 38	-247924351290
SPT(16)	2999319695711707723	0 6 18 24 70 84 90 106 108 124 130 144 190 196 208 214	-214599978058
SPT(16)	2999319737495622257	0 6 26 36 90 96 104 126 134 156 164 170 224 234 254 260	-172816063524
SPT(16)	2999319763868200081	0 30 40 60 70 102 112 162 256 306 316 348 358 378 388 418	-146443485700
SPT(16)	2999320566944449499	0 8 14 42 50 90 98 134 138 174 182 222 230 258 264 272	656632763718
SPT(16)	2999320750721565107	0 66 74 92 110 126 144 146 180 182 200 216 234 252 260 326	840409879326
STPT(10)	2999320778144312561	0 2 30 32 60 62 90 92 120 122	867832626780
STPT(10)	2999320951854089789	0 2 12 14 90 92 168 170 180 182	1041542404008
SPT(16)	2999321213643948341	0 36 38 98 120 150 168 192 236 260 278 308 330 390 392 428	1303332262560