Prime p₀= 2080737266990566781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2080736619018152453	0 44 66 78 108 116 144 294 320 470 498 506 536 548 570 614	-647972414328
TPT(14)	2080736736392715647	0 2 24 26 30 32 54 56 180 182 204 206 234 236	-530597851134
TPT(14)	2080736749035302339	0 2 18 20 42 44 90 92 102 104 132 134 168 170	-517955264442
TPT(14)	2080736839021763717	0 2 90 92 132 134 144 146 174 176 210 212 240 242	-427968803064
STPT(10)	2080736935847636159	0 2 18 20 30 32 42 44 60 62	-331142930622
SPT(16)	2080737045995048687	0 2 30 32 72 80 96 114 122 140 156 164 204 206 234 236	-220995518094
SPT(16)	2080737442184968409	0 12 14 42 108 122 140 164 198 222 240 254 320 348 350 362	175194401628
STPT(10)	2080737540950216129	0 2 42 44 60 62 78 80 120 122	273959649348
STPT(10)	2080737866705005127	0 2 42 44 72 74 102 104 144 146	599714438346
STPT(10)	2080737924018960749	0 2 48 50 90 92 132 134 180 182	657028393968
SPT(16)	2080738185283592473	0 16 60 64 66 78 100 130 174 204 226 238 240 244 288 304	918293025692