Prime p₀= 2099012396921794139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2099010760504127809	0 40 54 78 108 120 154 160 252 258 292 304 334 358 372 412	-1636417666330
SPT(16)	2099010942955918813	0 16 28 48 70 90 94 100 174 180 184 204 226 246 258 274	-1453965875326
SPT(13)	2099011298331626537	0 36 102 126 132 210 216 222 300 306 330 396 432	-1098590167602
STPT(10)	2099011525237346801	0 2 6 8 48 50 90 92 96 98	-871684447338
TPT(14)	2099011807028175077	0 2 24 26 84 86 132 134 174 176 192 194 504 506	-589893619062
SPT(16)	2099012050260502687	0 22 24 34 60 72 100 144 160 204 232 244 270 280 282 304	-346661291452
SPT(16)	2099012447466576377	0 24 26 30 42 54 80 86 120 126 152 164 176 180 182 206	50544782238
STPT(10)	2099012511213137381	0 2 36 38 78 80 120 122 156 158	114291343242
SPT(18)	2099013073277901047	0 12 36 44 54 56 66 86 92 144 150 170 180 182 192 200 224 236	676356106908
SPT(16)	2099013863309463973	0 10 28 48 66 88 96 126 130 160 168 190 208 228 246 256	1466387669834
STPT(10)	2099014455614630969	0 2 18 20 30 32 42 44 60 62	2058692836830