Prime p₀= 2343294570979103237 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: JohnMD
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2343292775387141653	0 28 48 54 96 130 148 154 180 186 204 238 280 286 306 334	-1795591961584
SPT(16)	2343293287142581471	0 42 46 52 112 136 178 276 382 480 522 546 606 612 616 658	-1283836521766
STPT(10)	2343293375938453199	0 2 18 20 30 32 42 44 60 62	-1195040650038
SPT(16)	2343293970701509961	0 2 72 92 98 128 158 182 186 210 240 270 276 296 366 368	-600277593276
STPT(10)	2343294216019233017	0 2 30 32 72 74 114 116 144 146	-354959870220
SPT(16)	2343294422938785697	0 10 12 66 82 120 132 142 174 184 196 234 250 304 306 316	-148040317540
STPT(10)	2343295049299614461	0 2 6 8 18 20 30 32 36 38	478320511224
STPT(10)	2343295314622867247	0 2 30 32 42 44 54 56 84 86	743643764010
SPT(16)	2343295386781546949	0 138 182 188 218 308 320 338 342 360 372 462 492 498 542 680	815802443712
TPT(14)	2343295395752397521	0 2 30 32 66 68 78 80 138 140 240 242 378 380	824773294284
SPT(16)	2343295418257209937	0 10 22 52 82 96 132 192 250 310 346 360 390 420 432 442	847278106700