Prime p₀= 2313013362928983719 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: WTBroughton
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2313012499763236433	0 18 24 54 114 120 158 186 218 246 284 290 350 380 386 404	-863165747286
STPT(12)	2313012653673188147	0 2 30 32 90 92 114 116 174 176 204 206	-709255795572
STPT(10)	2313012709221299999	0 2 42 44 90 92 138 140 180 182	-653707683720
STPT(10)	2313012825792239339	0 2 18 20 30 32 42 44 60 62	-537136744380
SPT(16)	2313012935349210271	0 30 36 88 106 126 160 192 196 228 262 282 300 352 358 388	-427579773448
SPT(16)	2313013144645542917	0 2 32 50 110 156 186 230 252 296 326 372 432 450 480 482	-218283440802
SPT(16)	2313013526811759179	0 72 114 170 174 200 224 228 254 258 282 308 312 368 410 482	163882775460
SPT(16)	2313013669471467449	0 42 48 78 90 110 168 188 204 224 282 302 314 344 350 392	306542483730
SPT(16)	2313013706090288363	0 50 54 78 96 114 164 180 224 240 290 308 326 350 354 404	343161304644
STPT(10)	2313014010728367407	0 2 24 26 42 44 60 62 84 86	647799383688
SPT(16)	2313014291719078067	0 60 66 74 126 182 224 234 242 252 294 350 402 410 416 476	928790094348