Prime p₀= 2706827011373339597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2706825289046199899	0 18 48 54 84 144 162 174 188 200 218 278 308 314 344 362	-1722327139698
STPT(12)	2706825413497495187	0 2 30 32 72 74 102 104 144 146 174 176	-1597875844410
SPT(16)	2706825703195027933	0 16 28 58 78 96 120 138 166 184 208 226 246 276 288 304	-1308178311664
SPT(16)	2706826651418281969	0 10 24 30 82 84 90 100 132 142 148 150 202 208 222 232	-359955057628
STPT(10)	2706826663130274161	0 2 96 98 138 140 180 182 276 278	-348243065436
STPT(10)	2706826862033803499	0 2 48 50 90 92 132 134 180 182	-149339536098
SPT(16)	2706827137454114267	0 54 66 134 150 236 264 270 326 332 360 446 462 530 542 596	126080774670
SPT(16)	2706827533342742741	0 2 8 38 68 72 96 122 126 152 176 180 210 240 246 248	521969403144
SPT(16)	2706827884141904317	0 40 64 72 90 100 130 210 286 366 396 406 424 432 456 496	872768564720
SPT(16)	2706827891334440257	0 42 126 142 196 216 252 346 360 454 490 510 564 580 664 706	879961100660
STPT(10)	2706827986728135371	0 2 6 8 48 50 90 92 96 98	975354795774