Prime p₀= 2999320778144312561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2999319695711707723	0 6 18 24 70 84 90 106 108 124 130 144 190 196 208 214	-1082432604838
SPT(16)	2999319737495622257	0 6 26 36 90 96 104 126 134 156 164 170 224 234 254 260	-1040648690304
SPT(16)	2999319763868200081	0 30 40 60 70 102 112 162 256 306 316 348 358 378 388 418	-1014276112480
STPT(10)	2999319910311685781	0 2 6 8 18 20 30 32 36 38	-867832626780
SPT(16)	2999320566944449499	0 8 14 42 50 90 98 134 138 174 182 222 230 258 264 272	-211199863062
SPT(16)	2999320750721565107	0 66 74 92 110 126 144 146 180 182 200 216 234 252 260 326	-27422747454
STPT(10)	2999320951854089789	0 2 12 14 90 92 168 170 180 182	173709777228
SPT(16)	2999321213643948341	0 36 38 98 120 150 168 192 236 260 278 308 330 390 392 428	435499635780
STPT(10)	2999321239933489481	0 2 6 8 48 50 90 92 96 98	461789176920
STPT(12)	2999321268466059497	0 2 42 44 102 104 210 212 270 272 312 314	490321746936
SPT(16)	2999321371040542901	0 20 62 72 86 110 146 152 156 162 198 222 236 246 288 308	592896230340