Prime p₀= 2899728491838376997 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2899726706662452827	0 2 30 32 42 44 54 56 84 86	-1785175924170
STPT(10)	2899727872926512237	0 2 30 32 42 44 54 56 84 86	-618911864760
SPT(16)	2899727880371458309	0 18 24 28 34 64 82 84 88 90 108 138 144 148 154 172	-611466918688
SPT(16)	2899727955791518391	0 68 108 126 156 158 168 198 248 278 288 290 320 338 378 446	-536046858606
STPT(10)	2899728115295113811	0 2 36 38 78 80 120 122 156 158	-376543263186
SPT(16)	2899728237612628949	0 24 44 80 98 102 104 132 140 168 170 174 192 228 248 272	-254225748048
SPT(16)	2899729027014937097	0 26 32 60 74 92 162 170 336 344 414 432 446 474 480 506	535176560100
SPT(16)	2899729121328698623	0 6 30 34 46 76 84 90 94 100 108 138 150 154 178 184	629490321626
STPT(10)	2899729238993386901	0 2 6 8 48 50 90 92 96 98	747155009904
SPT(16)	2899729488809145541	0 42 52 70 90 118 136 178 180 222 240 268 288 306 316 358	996970768544
SPT(16)	2899729494058047229	0 10 24 52 54 64 90 178 234 322 348 358 360 388 402 412	1002219670232