Prime p₀= 2309999790998548457 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2309998466812798379	0 2 48 50 60 62 72 74 120 122	-1324185750078
SPT(16)	2309998536876201799	0 40 52 64 70 78 102 108 124 130 154 162 168 180 192 232	-1254122346658
SPT(16)	2309998587491301647	0 42 56 84 90 132 150 152 204 206 224 266 272 300 314 356	-1203507246810
STPT(10)	2309999008516345919	0 2 48 50 90 92 132 134 180 182	-782482202538
SPT(16)	2309999413146217547	0 20 30 80 104 132 144 150 164 170 182 210 234 284 294 314	-377852330910
STPT(10)	2309999464528316591	0 2 30 32 60 62 90 92 120 122	-326470231866
STPT(10)	2310000109756058567	0 2 12 14 42 44 72 74 84 86	318757510110
SPT(16)	2310000352060429793	0 18 44 84 116 120 146 156 188 198 224 228 260 300 326 344	561061881336
SPT(16)	2310000526897889083	0 4 18 60 70 76 90 124 180 214 228 234 244 286 300 304	735899340626
SPT(16)	2310000585583309379	0 60 102 182 192 194 204 242 252 290 300 302 312 392 434 494	794584760922
SPT(16)	2310000842170097851	0 82 108 130 150 172 180 192 196 208 216 238 258 280 306 388	1051171549394