Prime p₀= 2339728684156276739 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2339727469644476687	0 2 12 14 42 44 72 74 84 86	-1214511800052
SPT(16)	2339727761811081263	0 18 24 68 74 98 144 146 228 230 276 300 306 350 356 374	-922345195476
TPT(14)	2339727826951484819	0 2 78 80 108 110 258 260 288 290 330 332 342 344	-857204791920
SPT(16)	2339727884660650633	0 6 70 76 78 88 106 130 144 168 186 196 198 204 268 274	-799495626106
STPT(10)	2339728309316043101	0 2 30 32 78 80 126 128 156 158	-374840233638
SPT(16)	2339728577528295001	0 6 12 16 42 72 90 96 112 118 136 166 192 196 202 208	-106627981738
STPT(10)	2339729053710560777	0 2 42 44 72 74 102 104 144 146	369554284038
SPT(16)	2339729058924306353	0 24 78 110 140 150 194 210 314 330 374 384 414 446 500 524	374768029614
SPT(16)	2339729206887254569	0 4 22 60 70 100 112 114 190 192 204 234 244 282 300 304	522730977830
SPT(16)	2339729276325138001	0 16 30 76 100 178 198 258 310 370 390 468 492 538 552 568	592168861262
TPT(14)	2339729848005395801	0 2 18 20 48 50 60 62 90 92 156 158 168 170	1163849119062