Prime p₀= 2306562793642763057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: FritzB
db: batch=81, k=10, 2 82 2 46 2

SPT(16)	2306560535219032487	0 6 72 84 92 96 104 110 156 162 170 174 182 194 260 266	-2258423730570
SPT(16)	2306560595610697549	0 58 70 78 90 100 118 160 162 204 222 232 244 252 264 322	-2198032065508
SPT(16)	2306560788927206101	0 6 12 96 112 118 132 138 220 226 240 246 262 346 352 358	-2004715556956
TPT(14)	2306560926139165301	0 2 90 92 156 158 216 218 240 242 258 260 348 350	-1867503597756
TPT(14)	2306561256661072511	0 2 6 8 18 20 48 50 78 80 156 158 216 218	-1536981690546
SPT(16)	2306562415913308117	0 10 22 24 76 90 94 120 136 162 166 180 232 234 246 256	-377729454940
SPT(16)	2306562835355885789	0 14 30 90 92 104 182 204 278 300 378 390 392 452 468 482	41713122732
STPT(12)	2306562846680247851	0 2 36 38 48 50 78 80 90 92 126 128	53037484794
SPT(16)	2306562900442086973	0 40 136 186 196 298 376 406 420 450 528 630 640 690 786 826	106799323916
STPT(10)	2306562980312037059	0 2 18 20 30 32 42 44 60 62	186669274002
STPT(10)	2306563731551820449	0 2 18 20 60 62 102 104 120 122	937909057392