Prime p₀= 3948027952909994687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: pah
db: batch=84, k=10, 2 22 2 16 2

STPT(10)	3948026873761469909	0 2 12 14 90 92 168 170 180 182	-1079148524778
STPT(10)	3948027270643065131	0 2 30 32 198 200 366 368 396 398	-682266929556
SPT(16)	3948027313675927073	0 14 56 60 86 104 120 140 174 194 210 228 254 258 300 314	-639234067614
SPT(13)	3948027317070061619	0 30 60 78 84 108 114 120 144 150 168 198 228	-635839933068
SPT(16)	3948027350569805507	0 6 30 32 56 72 86 102 140 156 170 186 210 212 236 242	-602340189180
STPT(10)	3948027937747884449	0 2 18 20 30 32 42 44 60 62	-15162110238
STPT(10)	3948028044510009371	0 2 6 8 18 20 30 32 36 38	91600014684
SPT(16)	3948028349792318171	0 20 50 56 72 90 182 186 242 246 338 356 372 378 408 428	396882323484
SPT(16)	3948028405078202633	0 30 66 80 90 110 146 170 210 234 270 290 300 314 350 380	452168207946
STPT(10)	3948028680159753347	0 2 12 14 72 74 132 134 144 146	727249758660
TPT(14)	3948028735962258887	0 2 30 32 84 86 90 92 144 146 174 176 252 254	783052264200