Prime p₀= 2345746768904830397 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(18)	2345745002865743161	0 22 28 30 70 72 102 132 156 172 196 226 256 258 298 300 306 328	-1766039087236
STPT(10)	2345745016152115619	0 2 18 20 30 32 42 44 60 62	-1752752714778
STPT(10)	2345745666476352191	0 2 6 8 18 20 30 32 36 38	-1102428478206
STPT(10)	2345745853855355891	0 2 30 32 60 62 90 92 120 122	-915049474506
SPT(16)	2345745898234365227	0 14 42 72 96 152 210 234 242 266 324 380 404 434 462 476	-870670465170
STPT(10)	2345746705579193417	0 2 12 14 72 74 132 134 144 146	-63325636980
TPT(14)	2345746886431555601	0 2 78 80 96 98 156 158 168 170 288 290 306 308	117526725204
SPT(16)	2345747411921330789	0 38 50 72 78 138 152 168 194 210 224 284 290 312 324 362	643016500392
STPT(10)	2345747517018753389	0 2 12 14 90 92 168 170 180 182	748113922992
SPT(16)	2345747935653891163	0 6 36 40 48 70 96 108 136 148 174 196 204 208 238 244	1166749060766
STPT(10)	2345748136485519971	0 2 6 8 18 20 30 32 36 38	1367580689574