Prime p₀= 2666624378678007929 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)	2666623631823896671	0 10 12 16 36 42 58 72 76 90 106 112 132 136 138 148	-746854111258
SPT(16)	2666623634803936799	0 32 38 54 60 68 90 144 188 242 264 272 278 294 300 332	-743874071130
SPT(18)	2666623741126486289	0 24 38 44 134 144 192 200 224 228 252 260 308 318 408 414 428 452	-637551521640
TPT(14)	2666623835716616471	0 2 36 38 78 80 90 92 180 182 210 212 300 302	-542961391458
SPT(16)	2666623847338024501	0 22 78 88 118 130 142 160 168 186 198 210 240 250 306 328	-531339983428
STPT(10)	2666623910342467247	0 2 30 32 42 44 54 56 84 86	-468335540682
SPT(16)	2666624581898508727	0 6 46 90 100 114 214 256 390 432 532 546 556 600 640 646	203220500798
SPT(16)	2666624799762172511	0 20 30 72 98 146 198 240 248 290 342 390 416 458 468 488	421084164582
SPT(16)	2666624912478466999	0 10 24 64 70 72 100 114 160 174 202 204 210 250 264 274	533800459070
STPT(10)	2666625227682034427	0 2 12 14 42 44 72 74 84 86	849004026498
SPT(16)	2666625406211451127	0 16 34 46 94 174 186 214 216 244 256 336 384 396 414 430	1027533443198