Prime p₀= 2322018151686971671 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 18 20 6 60 40 6 98 6 40 60 6 20 18 52 (?)
a_n: 0 52 70 90 96 156 196 202 300 306 346 406 412 432 450 502
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: 502
Found by: Orange Kid
db: batch=81, k=16, 52 18 20 6 60 40 6 98

SPT(16)	2322016285008344693	0 98 104 138 156 186 194 230 234 270 278 308 326 360 366 464	-1866678626978
SPT(16)	2322016783593690277	0 6 40 66 84 90 106 156 160 210 226 232 250 276 310 316	-1368093281394
SPT(16)	2322017364700188433	0 28 70 78 94 108 150 220 264 334 376 390 406 414 456 484	-786986783238
SPT(16)	2322017376859926961	0 28 46 48 88 132 150 166 222 238 256 300 340 342 360 388	-774827044710
SPT(16)	2322017481299470249	0 64 154 162 184 210 252 262 282 292 334 360 382 390 480 544	-670387501422
SPT(16)	2322017847980909843	0 14 44 48 66 146 188 204 260 276 318 398 416 420 450 464	-303706061828
SPT(16)	2322018363946876163	0 74 86 98 104 108 114 150 164 200 206 210 216 228 240 314	212259904492
SPT(16)	2322018817784621143	0 4 30 70 88 90 114 118 126 130 154 156 174 214 240 244	666097649472
STPT(10)	2322018888638613347	0 2 30 32 42 44 54 56 84 86	736951641676
STPT(10)	2322019228080320267	0 2 30 32 72 74 114 116 144 146	1076393348596
SPT(13)	2322019805827887701	0 30 60 90 138 198 240 282 342 390 420 450 480	1654140916030