Prime p₀= 2267057803213955597 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)	2267056967632958857	0 4 66 94 130 174 196 234 262 300 322 366 402 430 492 496	-835580996740
STPT(10)	2267057098752871697	0 2 30 32 42 44 54 56 84 86	-704461083900
TPT(14)	2267057170089176579	0 2 30 32 48 50 78 80 90 92 132 134 162 164	-633124779018
TPT(14)	2267057191443227327	0 2 60 62 144 146 174 176 342 344 510 512 552 554	-611770728270
TPT(14)	2267057273720715611	0 2 18 20 36 38 78 80 90 92 126 128 156 158	-529493239986
SPT(16)	2267057676034825727	0 14 26 32 36 42 54 72 74 92 104 110 114 120 132 146	-127179129870
STPT(10)	2267057970532160747	0 2 30 32 42 44 54 56 84 86	167318205150
SPT(16)	2267058391282372001	0 62 98 132 146 168 240 266 282 308 380 402 416 450 486 548	588068416404
SPT(16)	2267058545695384117	0 6 40 54 96 106 112 124 132 144 150 160 202 216 250 256	742481428520
SPT(16)	2267058584901186403	0 6 64 90 96 106 118 144 280 306 318 328 334 360 418 424	781687230806
SPT(16)	2267059967206759573	0 6 34 36 84 88 120 144 160 184 216 220 268 270 298 304	2163992803976