Prime p₀= 2768805795420434849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: [B^S]ABoskovich
db: batch=82, k=10, 2 46 2 10 2

TPT(14)	2768804467803629987	0 2 84 86 132 134 144 146 210 212 270 272 312 314	-1327616804862
SPT(16)	2768804494162312267	0 22 34 54 72 154 156 226 270 340 342 424 442 462 474 496	-1301258122582
SPT(16)	2768804913956986703	0 8 44 56 116 138 144 200 414 470 476 498 558 570 606 614	-881463448146
SPT(16)	2768805008964036877	0 22 30 66 72 90 142 150 196 204 256 274 280 316 324 346	-786456397972
STPT(10)	2768805593077930529	0 2 12 14 30 32 48 50 60 62	-202342504320
SPT(16)	2768805720155082067	0 10 40 82 144 160 174 180 286 292 306 322 384 426 456 466	-75265352782
TPT(14)	2768805953942614667	0 2 30 32 72 74 132 134 144 146 174 176 180 182	158522179818
STPT(10)	2768807128445651351	0 2 36 38 78 80 120 122 156 158	1333025216502
STPT(10)	2768807145121032929	0 2 12 14 90 92 168 170 180 182	1349700598080
TPT(14)	2768807604248851967	0 2 72 74 84 86 102 104 114 116 270 272 312 314	1808828417118
SPT(16)	2768807888472563347	0 12 70 82 120 132 174 202 204 232 274 286 324 336 394 406	2093052128498