Prime p₀= 2867065798173438539 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2867064980179262501	0 2 20 56 72 78 86 90 158 162 170 176 192 228 246 248	-817994176038
STPT(10)	2867065018580935589	0 2 18 20 30 32 42 44 60 62	-779592502950
STPT(10)	2867065033897319579	0 2 18 20 30 32 42 44 60 62	-764276118960
STPT(10)	2867065254991874549	0 2 18 20 30 32 42 44 60 62	-543181563990
SPT(16)	2867065325736517663	0 4 24 88 106 108 114 120 184 190 196 198 216 280 300 304	-472436920876
SPT(16)	2867065434119114341	0 22 40 70 192 210 240 246 256 262 292 310 432 462 480 502	-364054324198
TPT(14)	2867066151475501907	0 2 72 74 114 116 150 152 162 164 204 206 240 242	353302063368
SPT(16)	2867066266470698989	0 22 28 64 90 100 114 142 180 208 222 232 258 294 300 322	468297260450
STPT(10)	2867066680255819799	0 2 18 20 30 32 42 44 60 62	882082381260
SPT(16)	2867066837860118213	0 8 48 66 74 78 84 90 134 140 146 150 158 176 216 224	1039686679674
TPT(14)	2867066837971888091	0 2 66 68 78 80 138 140 150 152 156 158 180 182	1039798449552