Prime p₀= 2682347737989863717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: JayPi
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2682346523256606287	0 2 42 44 132 134 222 224 264 266	-1214733257430
SPT(16)	2682346830362195911	0 18 52 70 148 172 180 276 292 388 396 420 498 516 550 568	-907627667806
SPT(16)	2682346922619851587	0 22 72 102 192 244 280 282 484 486 522 574 664 694 744 766	-815370012130
STPT(10)	2682347198805154841	0 2 36 38 78 80 120 122 156 158	-539184708876
SPT(16)	2682347492179107821	0 6 8 18 50 60 132 150 158 176 248 258 290 300 302 308	-245810755896
SPT(16)	2682347662060324829	0 8 30 44 48 50 68 84 98 114 132 134 138 152 174 182	-75929538888
SPT(16)	2682347796853736981	0 2 32 68 98 102 110 156 212 258 266 270 300 336 366 368	58863873264
SPT(16)	2682348375214423609	0 28 100 108 178 180 198 222 238 262 280 282 352 360 432 460	637224559892
SPT(16)	2682349760324377603	0 96 130 136 160 180 208 220 246 258 286 306 330 336 370 466	2022334513886
SPT(16)	2682349965598160063	0 8 38 44 50 66 68 78 86 96 98 114 120 126 156 164	2227608296346
SPT(16)	2682350578743957217	0 12 70 94 106 120 144 154 162 172 196 210 222 246 304 316	2840754093500