Prime p₀= 2327709983056222859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

STPT(10)	2327709338758432127	0 2 30 32 72 74 114 116 144 146	-644297790732
STPT(10)	2327709348130890011	0 2 36 38 78 80 120 122 156 158	-634925332848
SPT(16)	2327709414459942911	0 2 30 56 62 72 116 140 198 222 266 276 282 308 336 338	-568596279948
SPT(16)	2327709418604161987	0 6 52 64 72 96 124 156 160 192 220 244 252 264 310 316	-564452060872
TPT(14)	2327709563792061221	0 2 120 122 126 128 288 290 300 302 390 392 420 422	-419264161638
STPT(10)	2327709598512844751	0 2 6 8 18 20 30 32 36 38	-384543378108
SPT(16)	2327710149588192781	0 10 52 58 90 118 156 202 216 262 300 328 360 366 408 418	166531969922
SPT(16)	2327710487489328751	0 40 90 112 150 160 168 208 222 262 270 280 318 340 390 430	504433105892
STPT(10)	2327711481614949629	0 2 42 44 90 92 138 140 180 182	1498558726770
STPT(10)	2327711644576804667	0 2 24 26 42 44 60 62 84 86	1661520581808
SPT(16)	2327711704358302991	0 36 78 80 186 198 210 218 270 278 290 302 408 410 452 488	1721302080132