Prime p₀= 2079712028711596397 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2079711254532024643	0 4 6 40 90 126 136 138 166 168 178 214 264 298 300 304	-774179571754
SPT(16)	2079711309504149287	0 10 30 54 84 96 126 130 150 154 184 196 226 250 270 280	-719207447110
TPT(14)	2079711331915499831	0 2 6 8 48 50 96 98 150 152 168 170 246 248	-696796096566
STPT(10)	2079711474895014197	0 2 30 32 42 44 54 56 84 86	-553816582200
STPT(10)	2079711658037575229	0 2 48 50 90 92 132 134 180 182	-370674021168
SPT(16)	2079711916637465713	0 18 28 30 58 70 84 114 124 154 168 180 208 210 220 238	-112074130684
STPT(10)	2079712410688299551	0 2 48 50 168 170 288 290 336 338	381976703154
SPT(16)	2079712484218452983	0 6 54 60 96 116 126 138 146 158 168 188 224 230 278 284	455506856586
STPT(10)	2079712649809114079	0 2 42 44 90 92 138 140 180 182	621097517682
STPT(10)	2079712888673640761	0 2 30 32 78 80 126 128 156 158	859962044364
SPT(16)	2079713141991655211	0 18 38 56 66 108 132 150 248 266 290 332 342 360 380 398	1113280058814