Prime p₀= 586397084265009929 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: Tomáš Brada
db: batch=58, k=10, 2 16 2 10 2

SPT(14)	586397026143336407	0 32 72 84 150 152 200 264 312 314 380 392 432 464	-58121673522
SPT(16)	586397032288707911	0 18 50 68 98 120 146 162 206 222 248 270 300 318 350 368	-51976302018
SPT(14)	586397058108155197	0 36 46 52 72 102 114 142 154 184 204 210 220 256	-26156854732
SPT(14)	586397061397769669	0 20 38 60 78 98 108 134 144 164 182 204 222 242	-22867240260
SPT(14)	586397061852003659	0 20 50 60 78 90 98 144 152 164 182 192 222 242	-22413006270
SPT(14)	586397076119653927	0 42 46 60 72 102 142 174 214 244 256 270 274 316	-8145356002
SPT(14)	586397084851426759	0 4 18 30 82 138 154 198 214 270 322 334 348 352	586416830
TPT(12)	586397107852697411	0 2 18 20 96 98 138 140 180 182 186 188	23587687482
TPT(12)	586397123571955049	0 2 12 14 72 74 90 92 198 200 222 224	39306945120
SPT(14)	586397145876618493	0 126 138 196 204 216 256 288 328 340 348 406 418 544	61611608564
SPT(14)	586397159654422813	0 16 36 54 58 88 90 154 156 186 190 208 228 244	75389412884