Prime p₀= 2279006734712461487 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2279005866987659891	0 2 6 26 32 96 156 180 188 212 272 336 342 362 366 368	-867724801596
STPT(10)	2279006127325329707	0 2 30 32 42 44 54 56 84 86	-607387131780
STPT(10)	2279006141589239297	0 2 42 44 72 74 102 104 144 146	-593123222190
STPT(10)	2279006182081597469	0 2 48 50 90 92 132 134 180 182	-552630864018
SPT(16)	2279006225339189207	0 14 56 60 114 116 156 170 240 254 294 296 350 354 396 410	-509373272280
STPT(10)	2279006411229933947	0 2 72 74 102 104 132 134 204 206	-323482527540
STPT(10)	2279006834806483721	0 2 36 38 78 80 120 122 156 158	100094022234
SPT(16)	2279006970605648851	0 12 52 72 112 138 156 196 222 262 280 306 346 366 406 418	235893187364
SPT(16)	2279007399394261721	0 6 20 38 48 72 126 128 150 152 206 230 240 258 272 278	664681800234
TPT(16)	2279007493378861151	0 2 18 20 60 62 90 92 96 98 210 212 240 242 258 260	758666399664
STPT(12)	2279007861483913277	0 2 12 14 54 56 90 92 132 134 144 146	1126771451790