Prime p₀= 1568973045590910959 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: Spectrum
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1568971606952432741	0 2 36 38 78 80 120 122 156 158	-1438638478218
TPT(14)	1568971706559326219	0 2 12 14 42 44 120 122 132 134 150 152 192 194	-1339031584740
STPT(10)	1568971931808702431	0 2 6 8 48 50 90 92 96 98	-1113782208528
SPT(16)	1568972208524032469	0 20 44 54 62 104 110 128 174 192 198 240 248 258 282 302	-837066878490
SPT(16)	1568972655417467497	0 36 60 64 66 94 106 120 136 150 162 190 192 196 220 256	-390173443462
STPT(10)	1568972972328613457	0 2 60 62 72 74 84 86 144 146	-73262297502
SPT(16)	1568973535806208547	0 36 42 74 80 86 126 200 246 320 360 366 372 404 410 446	490215297588
SPT(16)	1568974076575138931	0 80 90 168 192 216 246 260 528 542 572 596 620 698 708 788	1030984227972
STPT(10)	1568974292068277921	0 2 30 32 78 80 126 128 156 158	1246477366962
STPT(10)	1568974724593892849	0 2 48 50 60 62 72 74 120 122	1679002981890
TPT(14)	1568974727837959331	0 2 126 128 168 170 240 242 246 248 336 338 348 350	1682247048372