Prime p₀= 2577879152604566429 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: Penguin
db: batch=82, k=10, 2 10 2 76 2

SPT(20)	2577877617180718289	0 24 30 42 54 72 114 138 152 170 192 210 224 248 290 308 320 332 338 362	-1535423848140
SPT(16)	2577877733458510097	0 72 84 116 132 174 180 222 284 326 332 374 390 422 434 506	-1419146056332
SPT(16)	2577877998416053819	0 12 24 30 40 100 120 150 154 184 204 264 274 280 292 304	-1154188512610
TPT(14)	2577878112709065557	0 2 24 26 54 56 72 74 150 152 240 242 264 266	-1039895500872
TPT(14)	2577878791537156337	0 2 60 62 84 86 180 182 324 326 402 404 462 464	-361067410092
SPT(16)	2577879077690431441	0 28 36 40 58 78 136 156 190 210 268 288 306 310 318 346	-74914134988
STPT(10)	2577879491540563619	0 2 48 50 90 92 132 134 180 182	338935997190
SPT(16)	2577879582686629673	0 8 20 60 78 96 140 156 158 174 218 236 254 294 306 314	430082063244
STPT(10)	2577879709708397837	0 2 30 32 42 44 54 56 84 86	557103831408
SPT(16)	2577879766601518471	0 16 28 46 60 70 88 120 148 180 198 208 222 240 252 268	613996952042
STPT(10)	2577879784558277201	0 2 30 32 60 62 90 92 120 122	631953710772