Prime p₀= 2171267878335016229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Rantanplan
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2171267041347879647	0 174 210 222 260 266 306 314 342 350 390 396 434 446 482 656	-836987136582
STPT(10)	2171267091985849379	0 2 18 20 30 32 42 44 60 62	-786349166850
SPT(16)	2171267251347404017	0 16 22 54 70 162 196 222 304 330 364 456 472 504 510 526	-626987612212
SPT(16)	2171267608437671431	0 10 48 78 88 102 106 108 130 132 136 150 160 190 228 238	-269897344798
STPT(10)	2171267693653102799	0 2 18 20 30 32 42 44 60 62	-184681913430
STPT(10)	2171267786569792607	0 2 12 14 72 74 132 134 144 146	-91765223622
TPT(14)	2171267906298756701	0 2 18 20 36 38 198 200 210 212 258 260 300 302	27963740472
SPT(16)	2171268135298551659	0 42 54 68 90 104 222 252 320 350 468 482 504 518 530 572	256963535430
STPT(12)	2171268365125255139	0 2 30 32 78 80 120 122 168 170 198 200	486790238910
SPT(16)	2171268584368246603	0 30 34 36 60 76 144 238 246 340 408 424 448 450 454 484	706033230374
STPT(10)	2171268669975688247	0 2 30 32 42 44 54 56 84 86	791640672018