Prime p₀= 2731972165955827049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: UBT - Timbo
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2731971369933574103	0 24 66 80 164 168 170 180 284 294 296 300 384 398 440 464	-796022252946
STPT(10)	2731971405666567479	0 2 18 20 30 32 42 44 60 62	-760289259570
SPT(16)	2731971750009374729	0 54 80 110 120 164 198 234 278 314 348 392 402 432 458 512	-415946452320
SPT(16)	2731972003324618891	0 28 46 70 78 88 100 162 166 228 240 250 258 282 300 328	-162631208158
SPT(16)	2731972038143550229	0 24 58 100 108 130 154 172 180 198 222 244 252 294 328 352	-127812276820
STPT(10)	2731972165880427929	0 2 18 20 30 32 42 44 60 62	-75399120
STPT(12)	2731972232041445879	0 2 12 14 48 50 132 134 168 170 180 182	66085618830
STPT(10)	2731972570595132531	0 2 6 8 18 20 30 32 36 38	404639305482
SPT(16)	2731972764077471179	0 18 48 82 118 130 150 160 192 202 222 234 270 304 334 352	598121644130
SPT(16)	2731972767562979041	0 30 58 126 132 160 166 202 216 252 258 286 292 360 388 418	601607151992
SPT(16)	2731973380257603211	0 16 22 52 66 120 142 186 196 240 262 316 330 360 366 382	1214301776162