Prime p₀= 2339657550069976909 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 6 14 30 142 54 74 54 142 30 14 6 4 24 (?)
a_n: 0 24 28 34 48 78 220 274 348 402 544 574 588 594 598 622
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: 622
Found by: ChUcK
db: batch=81, k=16, 24 4 6 14 30 142 54 74

SPT(20)	2339654921471813791	0 28 30 66 70 82 108 118 132 196 222 286 300 310 336 348 352 388 390 418	-2628598163118
SPT(16)	2339655880508228189	0 8 42 62 68 90 98 102 140 144 152 174 180 200 234 242	-1669561748720
TPT(14)	2339656416580986929	0 2 150 152 180 182 312 314 348 350 420 422 492 494	-1133488989980
TPT(14)	2339656885896545351	0 2 90 92 168 170 180 182 300 302 318 320 336 338	-664173431558
STPT(12)	2339657049481701317	0 2 54 56 60 62 84 86 90 92 144 146	-500588275592
SPT(16)	2339657309723975047	0 6 24 52 102 114 136 156 190 210 232 244 294 322 340 346	-240346001862
TPT(14)	2339657722555585427	0 2 114 116 240 242 312 314 462 464 480 482 492 494	172485608518
STPT(10)	2339657793041101787	0 2 60 62 102 104 144 146 204 206	242971124878
SPT(16)	2339657830343654819	0 18 50 60 78 110 144 162 350 368 402 434 452 462 494 512	280273677910
SPT(16)	2339657981458334939	0 20 24 54 90 110 132 152 162 182 204 224 260 290 294 314	431388358030
STPT(10)	2339658104114093027	0 2 42 44 72 74 102 104 144 146	554044116118