Prime p₀= 2727559061017676297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2727558127500901537	0 22 42 124 162 216 226 244 282 300 310 364 402 484 504 526	-933516774760
SPT(16)	2727558137427712999	0 12 28 70 72 112 142 148 264 270 300 340 342 384 400 412	-923589963298
TPT(14)	2727558234434803727	0 2 12 14 60 62 72 74 84 86 114 116 144 146	-826582872570
STPT(10)	2727558254017690271	0 2 6 8 48 50 90 92 96 98	-806999986026
STPT(10)	2727558329204632289	0 2 42 44 60 62 78 80 120 122	-731813044008
SPT(16)	2727558520469429587	0 66 84 100 114 150 184 234 286 336 370 406 420 436 454 520	-540548246710
SPT(16)	2727559417742145953	0 26 68 96 120 158 176 224 240 288 306 344 368 396 438 464	356724469656
TPT(14)	2727559795166891687	0 2 90 92 114 116 162 164 522 524 534 536 624 626	734149215390
STPT(10)	2727559973837275559	0 2 48 50 90 92 132 134 180 182	912819599262
STPT(10)	2727560153295173981	0 2 36 38 78 80 120 122 156 158	1092277497684
SPT(16)	2727560177947705489	0 28 34 54 82 138 142 154 168 180 184 240 268 288 294 322	1116930029192