Prime p₀= 2768914467679008767 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)	2768912484911434621	0 6 22 36 58 138 166 210 238 282 310 390 412 426 442 448	-1982767574146
SPT(16)	2768912506801786907	0 6 44 50 56 72 74 90 116 132 134 150 156 162 200 206	-1960877221860
STPT(10)	2768913398064932891	0 2 90 92 108 110 126 128 216 218	-1069614075876
STPT(10)	2768914078249322189	0 2 18 20 30 32 42 44 60 62	-389429686578
STPT(10)	2768914132383615647	0 2 12 14 72 74 132 134 144 146	-335295393120
STPT(10)	2768914353401534621	0 2 6 8 48 50 90 92 96 98	-114277474146
STPT(10)	2768914999149063431	0 2 6 8 18 20 30 32 36 38	531470054664
SPT(16)	2768915005830255847	0 54 76 90 144 154 222 250 336 364 432 442 496 510 532 586	538151247080
STPT(10)	2768915233423260671	0 2 36 38 78 80 120 122 156 158	765744251904
SPT(16)	2768915554029600889	0 12 28 88 130 138 198 292 300 394 454 462 504 564 580 592	1086350592122
STPT(10)	2768915590158852221	0 2 6 8 48 50 90 92 96 98	1122479843454