Prime p₀= 2599685082068324009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2599683491172069541	0 12 18 78 130 172 186 196 222 232 246 288 340 400 406 418	-1590896254468
STPT(10)	2599683887683341617	0 2 30 32 72 74 114 116 144 146	-1194384982392
SPT(16)	2599684302153291049	0 22 48 64 114 118 124 142 180 198 204 208 258 274 300 322	-779915032960
SPT(16)	2599684463947388117	0 6 54 62 66 80 210 216 230 236 366 380 384 392 440 446	-618120935892
STPT(10)	2599684561587503441	0 2 6 8 18 20 30 32 36 38	-520480820568
SPT(16)	2599685036154748319	0 18 38 50 108 128 140 164 204 228 240 260 318 330 350 368	-45913575690
SPT(16)	2599685159362976807	0 56 66 92 122 134 146 176 180 210 222 234 264 290 300 356	77294652798
STPT(10)	2599685524510174181	0 2 6 8 48 50 90 92 96 98	442441850172
STPT(10)	2599685969752739009	0 2 18 20 30 32 42 44 60 62	887684415000
STPT(10)	2599686276141028817	0 2 12 14 42 44 72 74 84 86	1194072704808
SPT(16)	2599686419836791797	0 26 42 54 56 80 84 110 156 182 186 210 212 224 240 266	1337768467788