Prime p₀= 2309001146102566217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

TPT(16)	2308999892196798839	0 2 78 80 120 122 132 134 150 152 162 164 252 254 342 344	-1253905767378
SPT(16)	2309000133897649169	0 14 48 54 60 180 194 200 258 264 278 398 404 410 444 458	-1012204917048
TPT(14)	2309000529391018751	0 2 30 32 36 38 66 68 78 80 96 98 120 122	-616711547466
SPT(16)	2309000560455694837	0 6 30 42 72 76 90 154 162 226 240 244 274 286 310 316	-585646871380
STPT(10)	2309000604299960447	0 2 30 32 60 62 90 92 120 122	-541802605770
STPT(10)	2309001101198472377	0 2 54 56 72 74 90 92 144 146	-44904093840
STPT(10)	2309001273734183891	0 2 30 32 78 80 126 128 156 158	127631617674
STPT(10)	2309001396773424851	0 2 36 38 78 80 120 122 156 158	250670858634
SPT(16)	2309001416525377361	0 2 20 32 42 72 86 116 186 216 230 260 270 282 300 302	270422811144
STPT(10)	2309001462826483301	0 2 30 32 60 62 90 92 120 122	316723917084
STPT(10)	2309002153721264717	0 2 72 74 102 104 132 134 204 206	1007618698500