Prime p₀= 726640766377521167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(20)	726639390124820899	0 34 82 130 138 168 172 202 220 268 294 342 360 390 394 424 432 480 528 562	-1376252700268
TPT(14)	726639998531039531	0 2 30 32 96 98 168 170 240 242 288 290 306 308	-767846481636
SPT(16)	726640072044176009	0 2 20 30 84 98 108 174 188 254 264 278 332 342 360 362	-694333345158
STPT(10)	726640145566316879	0 2 18 20 30 32 42 44 60 62	-620811204288
SPT(13)	726640238968069453	0 48 84 108 114 150 174 198 234 240 264 300 348	-527409451714
SPT(16)	726640269503617439	0 42 50 54 60 90 92 120 122 150 152 182 188 192 200 242	-496873903728
SPT(16)	726640790211770669	0 20 30 72 78 114 132 224 288 380 398 434 440 482 492 512	23834249502
STPT(10)	726640806894318791	0 2 96 98 138 140 180 182 276 278	40516797624
TPT(14)	726640821174891431	0 2 18 20 90 92 186 188 210 212 228 230 240 242	54797370264
SPT(16)	726641209657632769	0 10 12 34 40 54 78 90 142 154 178 192 198 220 222 232	443280111602
SPT(16)	726641284158367771	0 18 36 48 90 142 232 256 282 306 396 448 490 502 520 538	517780846604