Prime p₀= 2726355101316457997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2726353499340240727	0 34 40 46 60 100 102 124 132 154 156 196 210 216 222 256	-1601976217270
STPT(10)	2726353644309426737	0 2 60 62 72 74 84 86 144 146	-1457007031260
SPT(13)	2726354002091627333	0 6 24 30 66 84 90 96 114 150 156 174 180	-1099224830664
SPT(16)	2726354167972284203	0 6 54 138 170 200 258 260 264 266 324 354 386 470 518 524	-933344173794
STPT(10)	2726354294323985177	0 2 30 32 72 74 114 116 144 146	-806992472820
STPT(10)	2726354539141577261	0 2 30 32 78 80 126 128 156 158	-562174880736
STPT(10)	2726355255283200857	0 2 84 86 162 164 240 242 324 326	153966742860
SPT(16)	2726355345819174229	0 10 12 84 118 144 150 172 300 322 328 354 388 460 462 472	244502716232
SPT(16)	2726355555687299681	0 126 138 140 158 182 186 222 236 272 276 300 318 320 332 458	454370841684
SPT(16)	2726355797195869177	0 76 84 100 124 132 180 202 204 226 274 282 306 322 330 406	695879411180
TPT(14)	2726355848603307287	0 2 12 14 42 44 210 212 234 236 264 266 300 302	747286849290