Prime p₀= 2301723414833881637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Marcel-Berlin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2301722425900369999	0 28 72 88 112 150 154 192 220 258 262 300 324 340 384 412	-988933511638
SPT(16)	2301722678644888067	0 2 24 30 84 114 132 144 170 182 200 230 284 290 312 314	-736188993570
SPT(16)	2301722806468006049	0 30 50 60 74 78 98 104 144 150 170 174 188 198 218 248	-608365875588
STPT(10)	2301722912513488067	0 2 30 32 162 164 294 296 324 326	-502320393570
SPT(16)	2301723066853942933	0 84 88 94 108 120 126 136 138 148 154 166 180 186 190 274	-347979938704
SPT(13)	2301723373034277523	0 30 48 78 90 114 144 174 198 210 240 258 288	-41799604114
STPT(10)	2301723540242843417	0 2 30 32 42 44 54 56 84 86	125408961780
STPT(10)	2301723746225364047	0 2 30 32 72 74 114 116 144 146	331391482410
SPT(16)	2301723779632821289	0 30 54 78 82 114 142 144 208 210 238 270 274 298 322 352	364798939652
SPT(16)	2301725237849510677	0 12 64 70 102 142 156 180 196 220 234 274 306 312 364 376	1823015629040
TPT(14)	2301725651052465719	0 2 12 14 102 104 132 134 180 182 408 410 420 422	2236218584082