Prime p₀= 2302343267887978723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 14 40 12 30 6 128 46 128 6 30 12 40 14 4 (?)
a_n: 0 4 18 58 70 100 106 234 280 408 414 444 456 496 510 514
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 514
Found by: FritzB
db: batch=81, k=16, 4 14 40 12 30 6 128 46

TPT(14)	2302341589405537721	0 2 30 32 60 62 66 68 138 140 156 158 186 188	-1678482441002
TPT(14)	2302341706513932899	0 2 30 32 72 74 90 92 102 104 228 230 258 260	-1561374045824
SPT(16)	2302341853126976071	0 10 12 60 102 120 196 210 298 312 388 406 448 496 498 508	-1414761002652
SPT(16)	2302341929110901939	0 2 44 120 134 144 164 170 204 210 230 240 254 330 372 374	-1338777076784
SPT(16)	2302342005997409039	0 32 42 48 68 72 80 102 110 132 140 144 164 170 180 212	-1261890569684
TPT(14)	2302343120561276267	0 2 24 26 54 56 60 62 102 104 114 116 252 254	-147326702456
STPT(10)	2302344064915903817	0 2 12 14 72 74 132 134 144 146	797027925094
STPT(10)	2302344079882020257	0 2 30 32 72 74 114 116 144 146	811994041534
SPT(16)	2302344557932160971	0 12 22 28 36 42 78 82 126 130 166 172 180 186 196 208	1290044182248
STPT(10)	2302344574477271939	0 2 18 20 30 32 42 44 60 62	1306589293216
SPT(16)	2302345252221044651	0 20 38 78 96 108 132 176 192 236 260 272 290 330 348 368	1984333065928