Prime p₀= 1586007126255334397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Icecold
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1586006254896569083	0 30 64 78 88 106 118 120 154 156 168 186 196 210 244 274	-871358765314
SPT(16)	1586006543711917903	0 58 66 90 136 154 184 186 268 270 300 318 364 388 396 454	-582543416494
TPT(14)	1586006612218236581	0 2 6 8 60 62 90 92 156 158 198 200 258 260	-514037097816
SPT(16)	1586006646862611797	0 14 26 36 104 126 140 182 354 396 410 432 500 510 522 536	-479392722600
STPT(10)	1586006790566073077	0 2 42 44 72 74 102 104 144 146	-335689261320
STPT(10)	1586006900093924897	0 2 30 32 42 44 54 56 84 86	-226161409500
STPT(10)	1586007153853385687	0 2 54 56 72 74 90 92 144 146	27598051290
SPT(16)	1586007697545721727	0 14 26 56 90 96 110 200 210 300 314 320 354 384 396 410	571290387330
STPT(10)	1586007880691194949	0 2 18 20 30 32 42 44 60 62	754435860552
SPT(16)	1586007935315214857	0 20 62 66 92 116 150 186 206 242 276 300 326 330 372 392	809059880460
STPT(10)	1586007992262010307	0 2 12 14 42 44 72 74 84 86	866006675910