Prime p₀= 1586006790566073077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Icecold
db: batch=78, k=10, 2 40 2 28 2

TPT(14)	1586005777341492509	0 2 30 32 78 80 90 92 132 134 198 200 252 254	-1013224580568
SPT(18)	1586005887262392209	0 8 32 48 92 144 210 242 278 294 330 362 428 480 524 540 564 572	-903303680868
SPT(16)	1586006254896569083	0 30 64 78 88 106 118 120 154 156 168 186 196 210 244 274	-535669503994
SPT(16)	1586006543711917903	0 58 66 90 136 154 184 186 268 270 300 318 364 388 396 454	-246854155174
TPT(14)	1586006612218236581	0 2 6 8 60 62 90 92 156 158 198 200 258 260	-178347836496
SPT(16)	1586006646862611797	0 14 26 36 104 126 140 182 354 396 410 432 500 510 522 536	-143703461280
STPT(10)	1586006900093924897	0 2 30 32 42 44 54 56 84 86	109527851820
STPT(10)	1586007126255334397	0 2 24 26 42 44 60 62 84 86	335689261320
STPT(10)	1586007153853385687	0 2 54 56 72 74 90 92 144 146	363287312610
SPT(16)	1586007697545721727	0 14 26 56 90 96 110 200 210 300 314 320 354 384 396 410	906979648650
STPT(10)	1586007880691194949	0 2 18 20 30 32 42 44 60 62	1090125121872