Prime p₀= 2564868870858593207 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2564868245786129581	0 42 70 102 162 168 172 202 216 246 250 256 316 348 376 418	-625072463626
SPT(16)	2564868246507825757	0 30 70 72 90 120 130 132 142 144 154 184 202 204 244 274	-624350767450
SPT(16)	2564868762019385869	0 10 34 64 112 138 190 192 220 222 274 300 348 378 402 412	-108839207338
SPT(16)	2564868796717265513	0 18 24 56 68 90 104 116 138 150 164 186 198 230 236 254	-74141327694
SPT(16)	2564868823084200433	0 30 34 40 58 84 120 154 204 238 274 300 318 324 328 358	-47774392774
STPT(10)	2564868834129452657	0 2 42 44 102 104 162 164 204 206	-36729140550
STPT(10)	2564868983613006911	0 2 36 38 78 80 120 122 156 158	112754413704
SPT(16)	2564869012551451601	0 30 42 62 66 72 90 150 188 248 266 272 276 296 308 338	141692858394
STPT(10)	2564869217303759669	0 2 78 80 120 122 162 164 240 242	346445166462
TPT(14)	2564869468953995249	0 2 180 182 198 200 210 212 222 224 270 272 300 302	598095402042
TPT(14)	2564869751357147501	0 2 66 68 78 80 120 122 156 158 180 182 246 248	880498554294