Prime p₀= 2138912686011086807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 82 2 46 2

SPT(16)	2138912080409850437	0 2 14 54 80 84 90 110 126 146 152 156 182 222 234 236	-605601236370
TPT(14)	2138912293752592079	0 2 150 152 252 254 372 374 390 392 402 404 408 410	-392258494728
STPT(10)	2138912386513447817	0 2 30 32 42 44 54 56 84 86	-299497638990
STPT(10)	2138912502062775779	0 2 18 20 30 32 42 44 60 62	-183948311028
STPT(10)	2138912639492204657	0 2 42 44 72 74 102 104 144 146	-46518882150
STPT(10)	2138912664397778609	0 2 18 20 30 32 42 44 60 62	-21613308198
SPT(16)	2138912892256759061	0 108 126 150 192 210 218 242 276 300 308 326 368 392 410 518	206245672254
SPT(16)	2138912978612669471	0 6 36 56 62 122 150 156 176 182 210 270 276 296 326 332	292601582664
STPT(10)	2138913055997866241	0 2 36 38 78 80 120 122 156 158	369986779434
SPT(16)	2138913060662896541	0 20 36 38 92 102 108 248 270 410 416 426 480 482 498 518	374651809734
STPT(10)	2138913383023764329	0 2 48 50 90 92 132 134 180 182	697012677522