Prime p₀= 2597757368681308523 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 26 40 20 66 30 24 130 24 30 66 20 40 26 18 (?)
a_n: 0 18 44 84 104 170 200 224 354 378 408 474 494 534 560 578
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: [SG-2W]Kurzer
db: batch=82, k=16, 18 26 40 20 66 30 24 130

SPT(16)	2597755074917877403	0 6 34 40 64 124 154 166 198 210 240 300 324 330 358 364	-2293763431120
SPT(16)	2597755763985256489	0 18 30 42 52 60 88 94 108 114 142 150 160 172 184 202	-1604696052034
TPT(14)	2597756078417407769	0 2 12 14 30 32 78 80 108 110 138 140 162 164	-1290263900754
STPT(10)	2597756344516962491	0 2 36 38 78 80 120 122 156 158	-1024164346032
SPT(16)	2597756676143364821	0 38 42 138 152 182 186 210 218 242 246 276 290 386 390 428	-692537943702
SPT(16)	2597757060996092399	0 8 18 60 132 144 164 188 264 288 308 320 392 434 444 452	-307685216124
STPT(10)	2597757464549538827	0 2 30 32 42 44 54 56 84 86	95868230304
STPT(12)	2597757905687015507	0 2 60 62 72 74 132 134 144 146 204 206	537005706984
STPT(10)	2597758687818087107	0 2 12 14 42 44 72 74 84 86	1319136778584
SPT(16)	2597758992859697663	0 44 68 86 90 104 170 198 206 234 300 314 318 336 360 404	1624178389140
SPT(18)	2597759045634196739	0 32 72 78 98 138 194 198 242 330 374 378 434 474 494 500 540 572	1676952888216