Prime p₀= 797116390102764617 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-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	797115303785770139	0 2 18 20 30 32 42 44 60 62	-1086316994478
STPT(10)	797115440407386311	0 2 30 32 78 80 126 128 156 158	-949695378306
STPT(10)	797115448586547029	0 2 30 32 60 62 90 92 120 122	-941516217588
SPT(16)	797115545982219577	0 12 16 24 46 54 64 72 94 102 112 120 142 150 154 166	-844120545040
STPT(10)	797115995367900737	0 2 42 44 72 74 102 104 144 146	-394734863880
SPT(18)	797116148388306997	0 6 42 52 94 106 112 120 180 286 346 354 360 372 414 424 460 466	-241714457620
SPT(16)	797116847412543739	0 4 34 42 48 70 78 82 120 124 132 154 160 168 198 202	457309779122
SPT(16)	797117019482647349	0 14 30 72 110 114 122 140 204 222 230 234 272 314 330 344	629379882732
STPT(10)	797117188083928079	0 2 18 20 30 32 42 44 60 62	797981163462
STPT(10)	797117413073157299	0 2 12 14 30 32 48 50 60 62	1022970392682
STPT(10)	797117424556296629	0 2 42 44 60 62 78 80 120 122	1034453532012