Prime p₀= 2515198269228111767 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: Rantanplan
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2515196007475487249	0 2 12 14 90 92 168 170 180 182	-2261752624518
SPT(16)	2515196123217674681	0 30 50 66 80 170 180 200 246 266 276 366 380 396 416 446	-2146010437086
SPT(16)	2515196221345567379	0 14 60 104 120 168 170 188 210 228 230 278 294 338 384 398	-2047882544388
STPT(10)	2515196441454580307	0 2 30 32 72 74 114 116 144 146	-1827773531460
SPT(16)	2515197038298981151	0 16 40 42 52 96 156 222 250 316 376 420 430 432 456 472	-1230929130616
SPT(16)	2515197273231310079	0 12 14 20 42 54 74 80 84 90 110 122 144 150 152 164	-995996801688
STPT(10)	2515198296004113569	0 2 12 14 90 92 168 170 180 182	26776001802
STPT(10)	2515198551035045399	0 2 18 20 30 32 42 44 60 62	281806933632
STPT(10)	2515199846219345609	0 2 18 20 30 32 42 44 60 62	1576991233842
TPT(14)	2515200054646734569	0 2 72 74 132 134 168 170 270 272 288 290 330 332	1785418622802
TPT(14)	2515200261573485579	0 2 78 80 90 92 120 122 240 242 252 254 288 290	1992345373812