Prime p₀= 2091111198181450187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2091109985889569837	0 14 26 56 86 104 126 156 164 194 216 234 264 294 306 320	-1212291880350
STPT(10)	2091110160564776171	0 2 6 8 18 20 30 32 36 38	-1037616674016
SPT(16)	2091110357031842527	0 16 30 36 40 42 132 150 166 184 274 276 280 286 300 316	-841149607660
STPT(10)	2091110575357446191	0 2 6 8 48 50 90 92 96 98	-622824003996
STPT(12)	2091110811379407737	0 2 12 14 54 56 150 152 192 194 204 206	-386802042450
SPT(16)	2091111067226590667	0 14 74 84 90 104 114 150 206 242 252 266 272 282 342 356	-130954859520
SPT(16)	2091111474350503421	0 56 68 116 126 152 180 182 306 308 336 362 372 420 432 488	276169053234
SPT(16)	2091111569868529217	0 6 60 74 80 126 140 174 302 336 350 396 402 416 470 476	371687079030
SPT(16)	2091111663241446451	0 6 16 40 42 58 72 82 156 166 180 196 198 222 232 238	465059996264
STPT(10)	2091111992835708629	0 2 48 50 90 92 132 134 180 182	794654258442
SPT(16)	2091112222548012647	0 20 26 42 60 86 224 242 294 312 450 476 494 510 516 536	1024366562460