Prime p₀= 2308339756302199967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2308339006586154197	0 6 24 32 96 116 140 152 174 186 210 230 294 302 320 326	-749716045770
SPT(16)	2308339023022347319	0 4 102 112 124 142 160 184 198 222 240 258 270 280 378 382	-733279852648
STPT(10)	2308339042533662771	0 2 6 8 48 50 90 92 96 98	-713768537196
SPT(16)	2308339361344116649	0 24 28 54 108 112 160 178 234 252 300 304 358 384 388 412	-394958083318
STPT(10)	2308339473747742007	0 2 42 44 72 74 102 104 144 146	-282554457960
SPT(16)	2308339652766750923	0 14 38 56 68 78 90 138 146 194 206 216 228 246 270 284	-103535449044
SPT(16)	2308339814796135179	0 2 72 78 80 98 104 132 170 198 204 222 224 230 300 302	58493935212
STPT(10)	2308339899147020309	0 2 18 20 30 32 42 44 60 62	142844820342
STPT(10)	2308340022039011507	0 2 30 32 42 44 54 56 84 86	265736811540
STPT(10)	2308340392446473681	0 2 6 8 18 20 30 32 36 38	636144273714
SPT(16)	2308340395500409331	0 8 80 92 98 110 138 158 252 272 300 312 318 330 402 410	639198209364