Prime p₀= 2371630211456784527 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2371629824178991627	0 10 34 76 84 132 160 166 180 186 214 262 270 312 336 346	-387277792900
SPT(16)	2371630035057023981	0 32 36 60 78 80 86 120 128 162 168 170 188 212 216 248	-176399760546
SPT(16)	2371630117417280471	0 38 56 86 90 96 156 180 248 272 332 338 342 372 390 428	-94039504056
SPT(16)	2371630163727615443	0 20 44 78 104 134 164 224 240 300 330 360 386 420 444 464	-47729169084
SPT(16)	2371630186356633119	0 14 24 78 144 150 152 164 198 210 212 218 284 338 348 362	-25100151408
SPT(16)	2371630201036814617	0 22 34 40 42 120 154 160 174 180 214 292 294 300 312 334	-10419969910
TPT(14)	2371630469215618181	0 2 60 62 138 140 156 158 240 242 258 260 306 308	257758833654
TPT(14)	2371630690938077417	0 2 30 32 90 92 114 116 120 122 162 164 210 212	479481292890
SPT(16)	2371630700540666681	0 78 90 116 146 182 198 200 228 230 246 282 312 338 350 428	489083882154
SPT(16)	2371630730645405501	0 18 20 62 72 150 152 156 182 186 188 266 276 318 320 338	519188620974
STPT(10)	2371630882204997867	0 2 24 26 42 44 60 62 84 86	670748213340