Prime p₀= 2039013738198536789 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=80, k=10, 2 16 2 10 2

STPT(10)	2039012578493650607	0 2 12 14 42 44 72 74 84 86	-1159704886182
STPT(10)	2039012592094823039	0 2 30 32 60 62 90 92 120 122	-1146103713750
STPT(10)	2039012735968481591	0 2 48 50 108 110 168 170 216 218	-1002230055198
SPT(16)	2039012907175906019	0 14 30 108 120 134 140 158 204 222 228 242 254 332 348 362	-831022630770
STPT(12)	2039013147886326179	0 2 12 14 72 74 78 80 138 140 150 152	-590312210610
SPT(16)	2039013609647474881	0 18 28 42 58 66 72 102 136 166 172 180 196 210 220 238	-128551061908
SPT(16)	2039013876690397463	0 20 104 108 174 216 234 246 428 440 458 500 566 570 654 674	138491860674
STPT(10)	2039014235491491239	0 2 18 20 60 62 102 104 120 122	497292954450
SPT(16)	2039014295867905379	0 18 20 38 72 122 150 158 174 182 210 260 294 312 314 332	557669368590
SPT(16)	2039014464236945603	0 6 20 36 44 80 84 104 150 170 174 210 218 234 248 254	726038408814
SPT(16)	2039014472138277209	0 24 32 80 92 182 248 288 314 354 420 510 522 570 578 602	733939740420