Prime p₀= 2451016505133285191 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 58 90 36 6 20 16 62 16 20 6 36 90 58 32 (?)
a_n: 0 32 90 180 216 222 242 258 320 336 356 362 398 488 546 578
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: 578
Found by: JayPi
db: batch=82, k=16, 32 58 90 36 6 20 16 62

SPT(16)	2451015219307396921	0 22 28 36 78 88 102 112 156 166 180 190 232 240 246 268	-1285825888270
STPT(10)	2451015429862019429	0 2 12 14 90 92 168 170 180 182	-1075271265762
SPT(16)	2451015440036975183	0 14 60 80 98 114 170 180 224 234 290 306 324 344 390 404	-1065096310008
SPT(16)	2451015528304658537	0 32 36 62 66 104 134 140 186 192 222 260 264 290 294 326	-976828626654
SPT(16)	2451016409286043763	0 30 38 68 114 140 156 180 194 218 234 260 306 336 344 374	-95847241428
STPT(12)	2451016415357666501	0 2 78 80 90 92 156 158 168 170 246 248	-89775618690
SPT(16)	2451016611286296941	0 18 56 90 108 116 210 222 236 248 342 350 368 402 440 458	106153011750
SPT(16)	2451016743987819823	0 18 30 36 40 46 78 88 96 106 138 144 148 154 166 184	238854534632
SPT(16)	2451016843680684101	0 30 32 42 78 102 110 170 210 270 278 302 338 348 350 380	338547398910
SPT(16)	2451016922289755669	0 14 48 54 72 80 108 114 188 194 222 230 248 254 288 302	417156470478
SPT(16)	2451017387680705979	0 14 24 62 78 80 84 134 198 248 252 254 270 308 318 332	882547420788