Prime p₀= 2999242604994976577 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

SPT(16)	2999239760746559921	0 8 26 42 50 56 78 86 162 170 192 198 206 222 240 248	-2844248416656
STPT(10)	2999239762689783971	0 2 78 80 138 140 198 200 276 278	-2842305192606
SPT(16)	2999241167671935031	0 18 60 102 108 132 138 160 228 250 256 280 286 328 370 388	-1437323041546
STPT(10)	2999241599730979817	0 2 30 32 42 44 54 56 84 86	-1005263996760
SPT(16)	2999241643156598473	0 18 28 30 54 78 90 118 126 154 166 190 214 216 226 244	-961838378104
TPT(14)	2999242359837644927	0 2 12 14 24 26 30 32 84 86 114 116 180 182	-245157331650
STPT(10)	2999242949375646731	0 2 6 8 18 20 30 32 36 38	344380670154
STPT(10)	2999242989431233187	0 2 30 32 42 44 54 56 84 86	384436256610
TPT(14)	2999243088218595899	0 2 30 32 42 44 72 74 228 230 288 290 300 302	483223619322
SPT(16)	2999243393211064403	0 8 26 54 78 98 134 140 144 150 186 206 230 258 276 284	788216087826
STPT(10)	2999244624105140867	0 2 30 32 42 44 54 56 84 86	2019110164290