Prime p₀= 2564868055901371679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2564865944740932193	0 28 34 48 64 100 106 168 196 258 264 300 316 330 336 364	-2111160439486
STPT(10)	2564866001716623929	0 2 18 20 30 32 42 44 60 62	-2054184747750
STPT(10)	2564866131161273909	0 2 12 14 30 32 48 50 60 62	-1924740097770
SPT(16)	2564867423200746149	0 2 72 78 92 98 132 140 162 170 204 210 224 230 300 302	-632700625530
SPT(16)	2564867667946605157	0 30 36 70 112 120 126 220 222 316 322 330 372 406 412 442	-387954766522
SPT(16)	2564867709686550221	0 2 38 42 48 50 62 116 132 186 198 200 206 210 246 248	-346214821458
SPT(16)	2564868245786129581	0 42 70 102 162 168 172 202 216 246 250 256 316 348 376 418	189884757902
SPT(16)	2564868246507825757	0 30 70 72 90 120 130 132 142 144 154 184 202 204 244 274	190606454078
SPT(16)	2564868762019385869	0 10 34 64 112 138 190 192 220 222 274 300 348 378 402 412	706118014190
SPT(16)	2564868796717265513	0 18 24 56 68 90 104 116 138 150 164 186 198 230 236 254	740815893834
SPT(16)	2564868823084200433	0 30 34 40 58 84 120 154 204 238 274 300 318 324 328 358	767182828754