Prime p₀= 1286405313252664019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1286404611154939877	0 2 12 14 42 44 72 74 84 86	-702097724142
TPT(14)	1286404669383940019	0 2 60 62 90 92 132 134 138 140 168 170 342 344	-643868724000
STPT(10)	1286404807768410131	0 2 6 8 48 50 90 92 96 98	-505484253888
SPT(16)	1286405105920342139	0 32 68 72 110 114 138 182 270 314 338 342 380 384 420 452	-207332321880
SPT(16)	1286405148551664931	0 12 58 88 100 108 118 126 142 150 160 168 180 210 256 268	-164700999088
SPT(16)	1286405263610418253	0 30 46 96 100 150 168 178 186 196 214 264 268 318 334 364	-49642245766
SPT(16)	1286405413971671921	0 2 90 116 156 158 170 176 252 258 270 272 312 338 426 428	100719007902
SPT(16)	1286405523773364959	0 12 20 24 42 108 150 158 174 182 224 290 308 312 320 332	210520700940
SPT(16)	1286405627508457823	0 6 8 20 68 78 134 146 168 180 236 246 294 306 308 314	314255793804
STPT(10)	1286405640451019981	0 2 6 8 48 50 90 92 96 98	327198355962
SPT(18)	1286405725681942427	0 6 50 74 80 84 90 102 174 242 314 326 332 336 342 366 410 416	412429278408