Prime p₀= 798086224037003567 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: Jeff17
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	798085473082528027	0 22 34 46 52 90 96 124 132 160 166 204 210 222 234 256	-750954475540
SPT(16)	798085571798150617	0 16 36 64 94 100 106 156 280 330 336 342 372 400 420 436	-652238852950
SPT(16)	798085587938784709	0 4 64 124 130 168 180 198 214 232 244 282 288 348 408 412	-636098218858
SPT(16)	798085633443786109	0 10 70 108 120 142 162 190 192 220 240 262 274 312 372 382	-590593217458
STPT(10)	798086042286739979	0 2 12 14 90 92 168 170 180 182	-181750263588
SPT(16)	798086108834829461	0 50 72 78 188 212 218 258 260 300 306 330 440 446 468 518	-115202174106
STPT(10)	798086977989468857	0 2 30 32 42 44 54 56 84 86	753952465290
STPT(10)	798087483419829269	0 2 42 44 60 62 78 80 120 122	1259382825702
SPT(16)	798087569842610221	0 6 12 16 42 88 96 126 172 202 210 256 282 286 292 298	1345805606654
SPT(16)	798087570243111199	0 18 28 60 102 120 168 172 210 214 262 280 322 354 364 382	1346206107632
TPT(14)	798088558546961039	0 2 12 14 78 80 120 122 138 140 150 152 198 200	2334509957472