Prime p₀= 2302322837019775637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: FritzB
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2302320028333537109	0 2 18 20 60 62 102 104 120 122	-2808686238528
TPT(14)	2302320490516226597	0 2 30 32 42 44 84 86 102 104 132 134 180 182	-2346503549040
SPT(16)	2302321083324014747	0 26 30 60 66 140 150 156 164 170 180 254 260 290 294 320	-1753695760890
TPT(14)	2302321214357880971	0 2 36 38 48 50 66 68 78 80 90 92 126 128	-1622661894666
TPT(14)	2302321777613634941	0 2 66 68 90 92 138 140 168 170 216 218 246 248	-1059406140696
SPT(16)	2302321875415050191	0 30 36 86 96 140 176 180 296 300 336 380 390 440 446 476	-961604725446
STPT(10)	2302323730666377701	0 2 6 8 48 50 90 92 96 98	893646602064
SPT(16)	2302324200504653417	0 2 30 44 54 80 110 126 140 156 186 212 222 236 264 266	1363484877780
TPT(14)	2302324601577607289	0 2 12 14 18 20 72 74 222 224 282 284 300 302	1764557831652
SPT(16)	2302324736120803399	0 22 42 54 124 144 150 154 228 232 238 258 328 340 360 382	1899101027762
SPT(16)	2302325331251877133	0 10 30 46 60 76 130 144 166 180 234 250 264 280 300 310	2494232101496