Prime p₀= 726640145566316879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	726638770533783157	0 12 22 70 94 144 156 186 190 220 232 282 306 354 364 376	-1375032533722
STPT(10)	726638823106076999	0 2 18 20 30 32 42 44 60 62	-1322460239880
SPT(16)	726638986285998167	0 30 50 54 84 90 92 174 182 264 266 272 302 306 326 356	-1159280318712
SPT(20)	726639390124820899	0 34 82 130 138 168 172 202 220 268 294 342 360 390 394 424 432 480 528 562	-755441495980
TPT(14)	726639998531039531	0 2 30 32 96 98 168 170 240 242 288 290 306 308	-147035277348
SPT(16)	726640072044176009	0 2 20 30 84 98 108 174 188 254 264 278 332 342 360 362	-73522140870
SPT(13)	726640238968069453	0 48 84 108 114 150 174 198 234 240 264 300 348	93401752574
SPT(16)	726640269503617439	0 42 50 54 60 90 92 120 122 150 152 182 188 192 200 242	123937300560
STPT(10)	726640766377521167	0 2 30 32 42 44 54 56 84 86	620811204288
SPT(16)	726640790211770669	0 20 30 72 78 114 132 224 288 380 398 434 440 482 492 512	644645453790
STPT(10)	726640806894318791	0 2 96 98 138 140 180 182 276 278	661328001912