Prime p₀= 2523098414147068649 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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2523096921091314229	0 22 30 48 60 70 78 112 120 154 162 172 184 202 210 232	-1493055754420
STPT(10)	2523096939219792119	0 2 18 20 30 32 42 44 60 62	-1474927276530
STPT(10)	2523097336460037047	0 2 12 14 42 44 72 74 84 86	-1077687031602
SPT(16)	2523097558356917537	0 6 20 56 80 86 90 140 156 206 210 216 240 276 290 296	-855790151112
SPT(16)	2523097725641170189	0 42 52 88 162 178 232 234 358 360 414 430 504 540 550 592	-688505898460
SPT(16)	2523098262203098429	0 10 22 24 40 58 90 100 132 142 174 192 208 210 222 232	-151943970220
TPT(14)	2523098621858238869	0 2 12 14 90 92 132 134 168 170 228 230 258 260	207711170220
TPT(14)	2523098790449141297	0 2 54 56 150 152 204 206 222 224 252 254 282 284	376302072648
SPT(16)	2523099061786616009	0 2 8 42 48 60 78 110 120 152 170 182 188 222 228 230	647639547360
STPT(10)	2523099331046022731	0 2 30 32 60 62 90 92 120 122	916898954082
SPT(16)	2523099501531724111	0 16 40 66 78 126 148 192 196 240 262 310 322 348 372 388	1087384655462