Prime p₀= 2301755998654922861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2301755688677552927	0 2 36 50 72 96 140 176 186 222 266 290 312 326 360 362	-309977369934
SPT(16)	2301755720287627687	0 24 42 52 66 142 172 184 222 234 264 340 354 364 382 406	-278367295174
STPT(10)	2301755858475363371	0 2 6 8 48 50 90 92 96 98	-140179559490
SPT(16)	2301755944805013659	0 68 84 92 114 140 152 210 212 270 282 308 330 338 354 422	-53849909202
TPT(14)	2301755975275414709	0 2 18 20 30 32 198 200 210 212 252 254 258 260	-23379508152
STPT(10)	2301755991784512881	0 2 36 38 78 80 120 122 156 158	-6870409980
SPT(16)	2301756235883449529	0 20 30 74 78 92 98 144 158 204 210 224 228 272 282 302	237228526668
STPT(10)	2301756569380771289	0 2 48 50 90 92 132 134 180 182	570725848428
SPT(16)	2301756578106846227	0 2 24 50 54 92 104 162 182 240 252 290 294 320 342 344	579451923366
TPT(14)	2301756612015130547	0 2 12 14 30 32 90 92 132 134 300 302 390 392	613360207686
STPT(12)	2301756942670586627	0 2 30 32 72 74 132 134 174 176 204 206	944015663766